Consider the function g(x)=(3x2-5x)(2x-3)(2x³+5x-6)(4x5-3x²+2x-8). Find the equation of the line tangent to the graph of this function at the point where x=-1. Show your work.

Q: Find the second derivative of the function.        f(x) = 4x5 − 2x3 + 5x2

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Q: Find the second derivative of the function. f(x) = 4x3/2

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Q: Find the derivative of the function.

A: Given  g(x)=3x2-22x+3-2 g(x)=2x+33x2-22 g(x)=2x+323x2-22 We use the following and differentiate g(x)…

Q: Write the equation of the line tangent to the graph of (x) at x=-1. f(x)=2x2+7x

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Q: Find the derivative of the function.

A: fx=x3-2x+3x-3

Q: Find the points of inflection given the function: Given the function f(x) = 2x³+ 3x²-12x-9 Where…

A: For the inflection point, second derivative is equal to zero.

Q: find the derivative of the function g(x)=5x^-3+ 6x^-6

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Q: Find the derivative of  C(x)=(2x3)/(3x4+2)

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Q: Find the derivative of the function. y = (2x – 5)*(8x² – 5)-3

A: Derivative denotes rate of change. According to product rule, ddxf(x)g(x)=ddxf(x)g(x)+ddxg(x)f(x)

Q: . Find the derivative of f (x) = (2x – 6(3x²+8). A. 30x4-54x2+32x %3D

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Q: Find the derivative of the function. F(x) = (x* + 3x² – 2)*

A: Use chain rule to find derivative of given function as shown in step 2

Q: Find the derivative of the function: f(x)= 16x5/4 + 8x-1/4 - 7x + 3

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Q: Find the equation of the line tangent to the graph of f(x)=5x^{3}+6x^{2}-6x-3

A: This question is related to functions, We will solve it using given information.

Q: Find the points where the graph of the function has horizontal tangents. f(x) = 3x^2 + 7x - 5

A: We have to find the points where the graph of the function has horizontal tangents.…

Q: Find the equation of the line that is tangent to the graph of f(x)=(3x+1)/(4x-3) at the point where…

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Q: Find the derivative of the function. g (x) = 6x-3 + 2x Og (x) = 18x + 10x-6 %3D Og (x) = -18x-3…

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Q: Find f'(x) using the rules for finding derivatives 4x2 - 5x + 2 f(x) = 3x +7

A: We have to find

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x)=3-2lnx;…

A: To determine equation of tangent line at given point.

Q: Apply the second derivative test to find the relative extrema of the function fx) =x*-18x-3

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

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Q: If f(x) = 2x^2 - 10x - 33 , what would the derivative f’(x) be?

A: Given : fx = 2x2-10x-33

Q: Find the derivative of f(x)= 5x2 (4+5e")?

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Q: Given f(x) = –3x² – x + 15, find f' (-3) using the definition of a derivative. Provide your answer…

A: f(x) = -3x2 -x +15 find f-1(-3)

Q: Find the third derivative of the function f(x)=2x^(5)-6x^(4)+7x^2-9x+20

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Q: Find the derivative of the function. f(x)=6x3 − 7x2 + 2/x3 − 3

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Q: 3x4 – -7Vx5 + 4 - f (x) = x2

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Q: Find the derivative of f. f(x) = 3x4 + 8x3

A: f(x)=3x4+8x3differentiating both sides w.r.t. xf'(x)=34x3+83x2f'(x)=12x3+24x2

Q: Find the derivative of the function. 6x - 7x2 + 4 f(x • x³ - 3 f'(x)

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Q: Find the derivative of the function. f(x) = (2x3 - 8x² + 3)4 %3D

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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 the derivative of f(x)=6x^-8/3-x^-2/3

A: Given         fx=6x-83-x-23

Q: Find the derivative of the function. g(x) = 8/ (5x2-6x)4

A: To find the derivative of the function

Q: Use the slopes of tangents to determine whether the function f(x) = -6x²+36x is increasing,…

A: The given function f(x)=-6x2+36x at the point x=4.

Q: Write the equation of the line tangent to f (x): x2 – 3x + 5 at the x

A: To find an equation of the tangent line of f(x)  at the point x=0

Q: Find the derivative of the function. f(x) =-4x2+x+ 6

A: Consider the function  f(x)=-4x2+x+6

Q: find the derivative of the function using only the definition.f(x)= 16x^2-3x+12

A: Initial Calculation:The variable f(x) is a function of x. The derivative of f(x) found with respect…

Q: Find the equation of the line tangent to f(x) = 4x³ + 9x – 7 when x=3. O f(x) = 135x - 288 o f(x) =…

A: Given, f(x)=4x3+9x-7 and x=3 The equation of a line in point-slope form is given by y-y1=mx-x1…

Q: Find the derivative of the function.

A: The given function is gx=3x2-22x+3-2.

Q: Find the derivative of the function. f(x)=6x2(9-8x)4

A: Use the product rule of differentiation: fx=ux.vxf'x=u'x.vx+ux.v'x

Q: Find the second derivative of the polynomial functiony=3x4−2x3+4x2−5x+1.

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Q: Find the second derivative of the polynomial functiony=2x5+3x4−4x3+x2−6.

A: Given Data The polynomial function is f(x)=2x5+3x4-4x3+x2-6.   Differentiate the polynomial function…

Q: Find the derivative of the function. F(x) = (7x6 + 8x³)4 %3D

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

A: Topic = Derivative