Find the equation of the line tangent to the graph of the function at the indicated po 4/5 y = (x² + 28) */ at x = 2

Q: Find the slope of the tangent line to the graph of y = √x − 1 at the point (5,2).

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Q: Find an equation of the tangent line to the graph of the function at the given point. ex + e-X y = 7…

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Q: 5) Determine the equation of the tangent to the curve y = √3x² - 2x at x=1.

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Q: Find an equation of the tangent line to the graph of f (x) = 1/√x at x = 9.

A: The equation of the graph is given as, fx=1x We need to find the equation of the tangent to the…

Q: find an equation of the tangent line to the graph of the function at the point (6,1).   y=3^x-6

A: Equation of tangent is given by: (y-y1)=m(x-x1) where , m=slope of the curve. You can find solve by…

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4-x- In(x+…

A: The function is given by y = 4-x2-ln12x+1 The point is x0,y0 = 0,4 To evaluate the equation of the…

Q: Find the equation of the tangent line to the curve y = 5x² - 7 at a point x = 1.

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Q: find the slope of the tangent to the curve of f(x)= 1/square root of x at the point where x=1/4

A: Topic:- application of derivatives

Q: Please find the equation of the tangent to f(x) =2* at the point (3,8)

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Q: Find the slope of the tangent line to the graph of y = x2 at the point where x = - 1/4.

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Q: Find the slope of the tangent line at the point P = (1, 1) on the graph of              ex-y = 2x2 -…

A: Given,          ex-y = 2x2- y2    at   P=(1, 1)

Q: Find an equation of the tangent line to f(x) = 3x +5 at the point (1, 8).

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Q: x-1 f(x) = x= 1 at (2₁²) x+1

A: The objective of the question is determine the slope of the line tangent.

Q: Find the slope of the tangent line to the graph of the functiony=f(x)=−6.5x^2 at point x=7

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Q: Find an equation of the tangent line to the curve  y = x sq root of x  that is parallel to the line…

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Q: Find the equation of the tangent line at x=9 for f(x) =X^3/2

A: I am attaching image so that you understand each and every step.

Q: Find the equation of the tangent line to the graph of ƒ(x) = 4/x at x = 2

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Q: The tangent lines to the graph of f(x) =x² grow steeper as x in- creases. At what rate do the slopes…

A: Given function is, f(x)=x2

Q: Find equation of the tangent line to the graph of y=sqrt(x^3-2) At the point where x=3

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Q: Find the equation of the tangent line to the curve y=csc(x) at x=pie/4

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Q: Find an equation of the tangent line to the graph of f at the given point. ru) - -17) x + 8 f(x) x -…

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Q: Find the equation of the tangent line to the graph of the function f (x) = 4xcosx + 3 at the point…

A: Given that: f(x)=4x.cosx+3 at point (0, 3)

Q: 2. Find the slope of the tangent 2 line to the curve f (x) = - = -1 at x

A: topic - slope of tangent line to curve

Q: Find an equation of the tangent line to f(x)=-x – 4x at the point (-1,5).

A: The above question is answered in next step and we can find the equation of the tangent line

Q: Find the slope of the tangent line drawn to the graph of 2x2−xy−y3=5 at the point (2,1). Enter exact…

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Q: 3. Find an equation of the tangent line to the curve at x=4 y=(sqrt(x)) / (x+6)

A: Given equation of the curve y = xx+6  ...............(1) Let the equation of the tangent at (x1, y1)…

Q: Find the equation of the tangent line to the curve y = 8/x2 + x + 2 at x = 2.

A: Given, y=8x2+x+2,  at x=2 slope of curve at x=2 is dydx dydxx=2=-82x+1x2+x+22dydx=-4064=-5/8 at x=2,…

Q: Find the equation of tangent line to Graph of f(x)=3 x In(5x-4) at point where x=.1

A: Solution:

Q: 3. If f(x) = 5x - 8x, find the equation of the tangent line to the curve at the point where x= 2.

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Q: Find the slope of the tangent line to the graph of the function at the given point. f(x) = 7x − 4x2…

A: Given, function

Q: Find the equation of the tangent to 1 y =- at x = 3 X

A: Given curve is y=1/x

Q: Find the equation of the tangent line to the graph of the function f (x) r+3 at the point (0,-). -4

A: Given: fx=x+3x-4 at the point0, -34

Q: Find the equation of the tangent line to the graph of f(x) 1 at x = -2. x+6

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Q: 4. Find the tangent line to the function f(x) =;xVx² + 5 at the point (2,2).

A: Tangent line of a function:  Differentiate the equation of the curve Substitute the value into the…

Q: Find an equation of the tangent line to the graph of  y = x(x + 2)4 at the point (2, 512).

A: The tangent is given by dydx So, In this question we differentiate y with respect to x and then put…

Q: Find the equation of the line tangent to the graph of f(x) = ₂ at x = 3.

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Q: Find the equation of the line tangent to the graph f(x) = – at the point (4,1).

A: Given:            fx=4x To find the slope of the tangent line, find the value of the derivative of…

Q: Find the equation of the line tangent to the graph f(x)= (lnx)5 at x=5

A: First find slope then use equation of tangent tangent line

Q: Determine the equation of the tangent line to the function f(x) = x square root (5-x^2) at x = 1

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Q: Find equation of a line tangent to the graph: f(x) = xm) at xo = 1

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Q: Find an equation of the tangent line to the graph of the function (x)= Vx –7 at the point (23, 4).

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Q: Find the points on the graph of f(x)=48x−x3 where the tangent line is horizontal.

A: Given:f(x) = 48x – x3.Compute the derivative of the function f(x) as follows.

Q: The tangent lines to the graph of f (x) = x2 grow steeper as x increases. At what rate do the slopes…

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Q: Find an equation of the tangent line to the graph of the function at the give у - (е2x - 4)2, (0, 9)…

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = 8x…

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Q: Find the equation of the line tangent to the graph of f(x) = (In x)* at x=7.

A: Slope is evaluated by differentiating f(x) wrt x at x=7 . Also f(7) is evaluated. Write equation of…

Q: Find the equation of the tangent line to the graph of f(x) = 3x' + 4x – x – 4 at x = - 1. y = help…

A: Slope of the tangent line is the derivative of the given curve at the given point. So…

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: