Consider the following equation and point. f(x) = √x+8,    (8, 4) Find an equation of the tangent line to the graph of f at the given point.

Q: Find the equation of the line tangent to the graph of y = (x3 - 1)(x2 + 1)4 at the point where x =…

A: The Slope of the line at any point is given by the derivative of the function at that particular…

Q: Write the equations of the lines tangent to the curve y x- 4x at both a 0 and a 2. Then, determine…

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Q: Find an equation of the line that is tangent to the graph of the function f(x)= 2x and parallel to…

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Q: Find the standard (slope-intercept form) equation of the tangent line to the following functions at…

A: Standard slope intercept form of a line is like,                     y=mx+c, where m is the slope of…

Q: Find an equation of the secant line containing (1, f(1)) and (2, f(2)). f(x) = x² - 2x

A: Rule:-equation of line passing thraught (x1,y1) and (x2,y2) is y-y1=y2-y1x2-x1(x-x1)

Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line.…

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Q: リ= 3x3-x2+6

A: Given query is to find the equation of the tangent.

Q: Find an equation of the tangent line to the graph at the given point. 3(x² + y2}² = 100(x? – y²),…

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Q: Find an equation for the line tangent to f(x)=x3 +3x2 -2x-8, at the point where x=1

A: To find the equation of the tangent line at point x = 1 for the given curve.

Q: Y=14x4-6x2+1; (-1,9)   find an equation of the tangent line to the graph of the function at the…

A: We know that the equation of tangent at the point (x1,y1) is: y-y1=m(x-x1) where m is the slope of…

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: If you like the solution then please give it a thumbs up... The Answer is :           y  =  - x + 2

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: If f(x) = 7x2 - x³, find f'(1) and use it to find an equation of the tangent line to the curve y =…

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Q: - 4x and draw the tangent lines to the graph at points whose x-coordinates are Graph the function…

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Q: 1. Find the slope of the line tangent to the graph of the function defined by fix) - 3x - 2x- I at…

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

Q: If f(x) = 9x^2 - x^3, find f'(1) and use it to find an equation of the tangent line to the curve y =…

A: Consider the given curve fx=9x2-x3

Q: Find an equation of the tangent line to the graph at the given point. (x + 2)2 + (y – 3)² = 37, (-1,…

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Q: Find an equation of the tangent line to the graph of the equation 6x - 5x8y7 = 36e6y at the point…

A: In this question, we will compute the equation of the tangent line of the given curve.

Q: Find an equation for the tangent to the curve at the given point. y=x2-x. (-3,12)

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Q: Find an equation of the line tangent to thegraph of f(x) =3/x at (2,3/2)

A: Given: y=fx=3x, 2,32 for finding of equation of tangent at given point we need slopem of tangent at…

Q: Find all values of x at which the tangent lines to the graph of x4 - 2x2 + 15 4 y = are…

A: y = x44 - 2x² +15>   To find All Values of x where tangent lines to given Curve perpendicular…

Q: Find the slope and the equation of the tangent line to the graph of the given function at the given…

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.

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Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line.…

A: Slope will be same and there will be 2 equations.

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: Function f(x) = −1/4 x2                      Line       x + y = 0 Equation of the line that is…

Q: If f(x) = 9x2 - x³, find f'(2) and use it to find an equation of the tangent line to the curve y =…

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Q: Find an equation of the tangent line to the graph of the function f defined by the equation at the…

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Q: Find the slope and an equation of the tangent line to the graph of the function f at the specified…

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Q: Write the equation of the line tangent to the graph of f(x) = -3x² + 5x +1 at x=1 and use it to…

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Q: Find equations of the two tangent lines to the graph of f(x) = that pass through the point (-1, -3).…

A: Let the point on the curve c,c2 on the curve through which the tangent line passes, As we know that…

Q: Find an equation of the line that is tangent to the grapt Function Line 4x-y+2 = 0

A: Since, we have been given up the function:-f(x)=2x2 -(i)Differentiating equation-(i), with respect…

Q: Consider the following equation and point. f(x) = 3x2 – 6, (-1, -3) Find an equation of the tangent…

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Q: If an equation of the tangent line to the curve y = f(x) at the point x=2 is y=4x-5, find f(2) and…

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Q: Find the equation of the line tangent to the graph of f(x) = x² + = - 9 at x = 7. y = help…

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Q: If f(x) = 8x2 - x3, find f'(2) and use it to find an equation of the tangent line to the curve y =…

A: The given function is f(x)=8x2-x3

Q: find equations of the two tangent lines to the graph of f(x) = x^2 that pass through the point…

A: find equations of the two tangent lines to the graph of f(x) = x^2 that pass through the point…

Q: If (x) = 8x² - x, find f(1) and use it to find an equation of the tangent line to the curve y = 8x-…

A: First of all find derivative and slope

Q: If f(x) = 2x2 - 9x + 4, find the equation of the line tangent at a 2. %3D

A: Given that: f(x) = 2x2-9x+4  To find:  Equation of tangent line at x=2.

Q: Find an equation of a line that is tangent to the graph of f(x) = x³ -3 and Perpendicular to the…

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: Find an equation of the line that is tangent to f(x)= x^3+2 and parallel to the line 3x-y-4=0

A: Given f(x)=x3+2

Q: If f(x) =3x2 -x3 ,find f ' (1) and use it to find an equation of the tangent line to the curve y=…

A: Our Aim is to write an equation of tangent line to the curve y=3x2-x3 -(i) at the point (1,2).

Q: Find an equation of the line that is tangent to the graph of fand parallel to the given line.…

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: Given: function fx=2x2Line 4x-y+1=0

Q: Find an equation of the tangent line to the graph at the given point. x²y? - 9x? - 4y² = 0, (-4,…

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Q: Consider the function f(x) = x3 + 4, and the point (1, 5). Write the equation of the line tangent to…

A: Compute the slope as follows.

Q: Find an equation of the line tangent to the graph of f(x) = · 1 (2) a) at (1,1); b) at - 3, 27 c) at…

A: To find an equation of the line tangent to the graph:

Q: Find the equation, in slope-intercept form, of the tangent line to the curve defined by the given…

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Q: Find the standard (slope-intercept form) equation of the tangent line to the following functions at…

A: Given function is fx=2x2-4x+5. To find the equation of the tangent line in slope intercept form to…

Q: Find the equation of the line that is tangent to the graph of y= x^3 +4/x^2 at point (2,9)

A: The equation of tangent line to y=f(x) at (x0,y0) is y-y0=f'(x0)(x-x0)

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: