Find the equation of the line tangent to the graph of f(x)= x2 over (3x-4)3 at the point where x=4.

Q: Find all points of the graph of f(x) = 3x2 + 9x whose tangent lines are parallel to the line y - 57x…

A: Solution: Two lines are parallel if they have same slope.

Q: What is the equation of the line tangent to * f(x) = 4x2 + 2x – 1 at x = 0

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Q: Find the equation of the line tangent to the graph of f(x) = 6x° + 5x² – 4x – 7 at x = -3

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Q: Find the equation of the tangent line to the graph of f(x)=6xln(x+8) at x=-2

A: Given equation: To find the slope of the tangent line, find the value of the function's derivative…

Q: 4. Write an equation of the tangent line to the graph of f (x)=3x+8x at the point where x= 9.

A: Given query is to find equation of tangent to the f(x).

Q: Find all points (x, y) on the graph of f(x) = x - 3x + 8x + 23 with tangent lines parallel to the…

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Q: Find an equation of the line tangent to the graph of f(x) when x = 2: f(x) = Vx+2

A: Find the equation of line

Q: The slope of a tangent to the curve f(x) = x² + 2x – 5 at the point (3, 10) is : 12 8. -5 10

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Q: Find an equation of the line tangent to the function of x2 + (y – x)² = 9 at x 1.

A: You have posted multiple question. As per the instruction, we are answering the first one. If you…

Q: Find an equation of the line tangent to the graph of f(x) when x = 2: f(x) = Vx +2

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Q: Find an equation for the line tangent to the graph of 7x f(x) = x + 7 at the point (3, 2.1). y =

A: Given curve is Differentiating with respect to x, we get

Q: Find the slope of the line tangent to the graph of f(x)=4x^2 +2x +1 at x=1

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Q: Find the equation of the tangent line to the graph of the function f (x) = /4x³ + 5 at the point…

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Q: Find the equation of the line tangent to the graph of f(x)= (lnx)3  at x=10.

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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: Find an equation of the line tangent to thegraph of ƒ(x) = x3 + 4x at (1, 5).

A: Given: The graph is expressed as fx=x3+4x To Find : Equation of line tangent to 1,5  The equation of…

Q: Find all points (x, y) on the graph of f(x) = x° - 4x + 15x + 10 with tangent lines parallel to the…

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Q: Find the derivative of the function f(x) = (3x+2)^2 in two different ways.

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Q: Find the equations of the line that is tangent to f(x) = x3 - x2 +3x - 4 at x = 2

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Q: 5. Find the equation of the line tangent to the graph of f(x)= 2x' +4x² – 5x– 3 at | x = -1.

A: f(x)=2x3+4x2-5x-3diff w.r.t xf'(x) =6x2+8x-5now substitue x=-1f'(-1)=6(-1)2+8(-1)-5f'(-1)=-7slope of…

Q: Find the slope-intercept equation of the tangent line to the graph of f(x) = x2 at (-3, 9).

A: Consider the following function: fx=x2 Differentiate fx with respect to x: ddxfx=ddxx2f'x=2x…

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 the equation of the line tangent to the graph of f(x) = 4x° + 6x2 – 6x – 5 at x = -6. %3D

A: The function is given by fx = 4x3+6x2-6x-5 To evaluate: The equation of the tangent line to the…

Q: Find the derivative of the function. f(x) = V3x + 2

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Q: Find the second derivative for the function f (x) = 4e . 1 - 2x3

A: Given: fx=4ex-12x3 for finding second derivative of given, we find first derivative then find…

Q: 4. Find the slope of the line tangent to the graph of 1 f (x) = 2x4 – 32x3 + 17x2 – 9x + 4 at x 2 -…

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Q: Find the equation of the line tangent to the graph of f(x) = −2x² + x + 3 at x = 1. Provide your…

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Q: Find an equation for the line tangent to the graph of f at (3, 103), where f is given by f(x) = 5x³…

A: As we know that; The expression for the equation of the tangent line is: y-y0=mx-x0 Where m is the…

Q: Find an equation for the tangent line to the graph of f(x)=2x^2-9lnx at the point where x=2.

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Q: Find the equation of the tangent line to f(x) = 4x² -5x+2 at (-1,11).

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Q: (4) Find the equation of the line tangent to f(x) = 12√ - 2² at the point (4,8).

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Q: What is the maximum slope of a tangent to the function f(x) = −x3 + 4x − 2?

A: Maximum slopes of tangent to function is 4.

Q: Find the equation of the line tangent to the graph of f(x)= 7x³ +5z2 - 3z- 3 at z = -5. %3D

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Q: Find the equation of the line tangent to f(x) = 4x³ – 5x +4 at (–2, –18). -

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Q: Find the derivative of the function of y = (9x* + 6x-²) when x = 2

A: Given:     y=9x4+6x-2  differentiating on both sides    dydx=ddx9x4+6x-2    y'=ddx9x4+ddx6x-2 Apply…

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

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Q: Find X values of all points on the graph of g=x²³ + 3x² -11x +5 where the slope of tangent line is 3…

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Q: Find the equation of the line tangent to the graph of f(x) = 5x° +4x² – 5z – 6 at z = -6. %3D

A: Given that       f(x) = 5x3+4x2-5x-6      at x=-6 Here we have to find the equation of the line…

Q: Find the tangent line to the equation: f(x) 3x2 + 2x-1, when x= 2 %3D

A: Using equation of tangent formula.

Q: Find the slope of the line tangent to the graph of f(x) = 3x² - x- 5 at x = 1.

A: The equation of the curve is given by fx = 3x2-x-5 The point is x = 1 Formula Used: mtan = dfdxx=1…

Q: Find the point where the tangent to the graph of f(x)= -x^2-6 is parallel to the line y=4x-1

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Q: Find the derivative of the function f(x) = x2 -8x +9 at the number a

A: The given equation is f(x)=x2-8x+9 The derivative of the function is the rate of the change in the…

Q: Find the equation of the tangent line to the graph of f (x) = 9x3 - 5x at 13. the point x = 1.

A: Given function is We know that slope of tangent to the curve y=f(x) at point x=a is f'(a) so, slope…

Q: Find the equation of the tangent line to the graph of the function f (x) = x3- 2x + 1 at the point…

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Q: Find the higher-order derivative    1. f ''(x)=16x^(3)-38x^(2)

A: Derivative

Q: Find an equation of the tangent line to the graph of f(x)=3x3+2x when x=1.

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Q: Find the equation of the line tangent to the curve f(x) = 4x² - 6x +39 at x = 1.

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