Determine the equation of the line tangent to the graph of the following function at x = 0. g(x) e(-9 4x + 2x2)

Q: C. If h(x) = [f(x)]² + g(x),what is the equation of the line tangent to the graph of h at x = -2?…

A: First we will find derivative of h(x) at x=(-2) that gives the slope of the required tangent.

Q: Find f'(x) and find the equation of the line tangent to the graph of f at x= 2. X-6 f(x) = 5x - 1

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Q: Find an equation of the line tangent to the graph of G(x) = 4 e - 7x at the point (0,4).

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Q: Determine the equation of the line tangent to the graph of the following function at x = 0. g(x) =…

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Q: 7x Find the slope of the tangent line to the graph of f(x) = at x=2. (x+1)(x- 5)

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Q: For f(x) = 2x - 4x + 3 find the following. (A) f'(x) (B) The slope of the graph of f at x = - 4 (C)…

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Q: Which of the following is an equation of the line tangent to the graph of f(x)=x^3-x at the point…

A: Calculus Question

Q: 1. For the function f(x) = 3x² + 7x – 2, (a). Find the slope of the tangent line at x = 4. (b). Find…

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Q: Find the point on the graph of the given function at which the slope of the tangent line is the…

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Q: Which of the following is an equation of the line tangent to the graph of f(x)=3x^2+1 at the point…

A: Please refer the attached image for complete solution.

Q: Find an equation for the line tangent to the graph of 7x f(x) = x + 3 the point (2, 2.8).

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

A: Here we find equation of tangent on given curve.

Q: 2. Given the function, find the slope of the line tangent to the curve: f(x) = v5x + 2 at the point…

A: We have to find the slope of the line tangent to the curve: f(x)=5x+2 at the point P(1,2) for the…

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 f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

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Q: Find the equation of the line tangent to the graph of the given function at the point with the…

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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…

A: The equation of tangent line passing through the point x1,y1 is y-y1=mx-x1, where m is slope. The…

Q: Find the slope of a line tangent to the curve of the given equation at the given point. y = x2 - 3;…

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Q: Find h'(-2) if h =fog, f(x) = 6x² - 1 and the equation of the tangent line of g at -2 is y = -2x +…

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Q: Find f′​(x) and find the equation of the line tangent to the graph of f at the indicated value of…

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Q: Find the equation of the tangent line to the graph of the function f(x) = 4x - at x = -2. Give your…

A: Use formula of equation of tangent line.

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 f'(x) and find the equation of the line tangent to the graph off at the indicated value of x.…

A: To find the equation of tangent line to the given curve at a given point, Obtain the expression for…

Q: Find an equation for the line tangent to the graph of  F(x)=6xe^x at the point (a,f(a)) for a =3…

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Q: If g(x) =x4-2 find g'(1) and use it to find an equation of the tangent line to the curve y= x4-2  at…

A: Derivative: g(x)=x4-2 The eq of the tangent at (x1,y1) is y-y1=dgdx(x1,y1)(x-x1)

Q: Find an equation for the tangent line to the graph of the function F(x) = V3x2 + 9 at the point (3,…

A: To find the equation of tangent of given equation.

Q: Find the slope of the tangent to the graph of the given function at the indicated point. g(x) = 9x2…

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

Q: find the function with the given derivative whosegraph passes through the point P.39. ƒ′(x) = 2x -…

A: We have to find the function for the given derivative passes through the point P: f'x=2x-1, P0, 0…

Q: For the function, find the point(s) on the graph at which the tangent line has slope 2. 1 y=x²-3x²…

A: Given y=13x3-3x2+7x+16 & m=2To find point on the graph: Rules of differentiation: (1)…

Q: Find f'(x) and find the equation of the line tangent to the graph of fat x = 1. f(x) = (2+5x)(5-4x)

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

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Q: Q6. Find the equation of the tangent line to the graph f(x)=2xsinx at x=7

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Q: For what value(s) of x does the graph of f(x)=10x^3 − 90x^2 + 240x +90 have a horizontal tangent?…

A: To find the slope of the tangent we find f'(x)

Q: Find the point on the graph of the given function at which the slope of the tangent line is the…

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Q: Find the equation of the tangent line to the graph of the function f (2) = (22 +7) (x– 2) at the…

A: Given curve f(x)=(x2+7)(x-2) ⇒f(x)=x3-2x2+7x-14

Q: If g(x) = 5 – x³, find g'(0) and use it to find an equation of the tangent line to the curve y = 5 –…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Determine an equation for the line tangent to the graph of the given function at the indicated point…

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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: Find the equation of a tangent line to the graph of the function g(x)=2x−x2g(x)=2x−x2 that is…

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at x = 1. f(x)= (1 +5x)(3-2x)…

A: topic- derivative and equation of tangent line to function

Q: Use the equation below to find the tangent line to the graph of the function f(x) = 6 − 2x^2 at the…

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Q: For what value(s) of x does the graph of 1 f(x) = – x² +3 have a .2 - horizontal tangent?

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Q: Find the equation of the line that is tangent to the graph of f(x)=3x^2−5 at x=2. You should enter…

A: The tangent line of a cure at a point is the line which touches the curve at the point, such that…

Q: Find the values of x for all points on the graph of f(x)=x3-2x2+5x-16x at which the slope of the…

A: The given function is

Q: Find the values of x where the tangent line is horizontal for the function  f(x) = x2(x-5)3

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Q: Q5: Find an equation of the tangent line to the graph of f at (1, 32): y = x (x + 1)5

A: The slope of tangent at any point on the curve is given by the value of derivative of that function…

Q: Find an equation for the line tangent to the graph of at the point (a, f(a)) for a = = 2. y = f(x) =…

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Q: If g(x) - xf(x), where (4) = 9 and f'(4) = -4, find an equation of the tangent line to the graph of…

A: Given:  gx=x fxf4=9f'4=-4 To Find:  To find an equation of the tangent line to the graph of g at the…

Q: Find the derivative of the function g(x) = (4x2 + 2x – 3)e

A: g(x)=(4x2+2x-3)ex