1. Given f(x) = -2x and g(x) = x - 7, find g(f(2)). *

Q: 1 Find the derivative of f(x) = V7+4x2 - 5.x2 +9

A: we apply chain rule in the first part and division rule in the second part

Q: need help solving this please

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Q: Suppose ƒ is an even function and Evaluate

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Q: In(3x) Given f(x) the derivative f'(x) is 3 1 3x 1 3x 3 3

A: f(X) = ln(3x)/3

Q: In(6x) Given f(x) = the derivative f'(x) is 6

A: =?

Q: 1. Find the derivative of f(x) if f(x) = x7 + 10x5 – x² – 4

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Q: In(6x) Given f(x) the derivative f'(x) is 1 6x 1 6x ,6x 1 6

A: Topic-Derivative

Q: Differentiate. f(x) = - 2 e -X t'(x) = ]

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Q: g(x)= 4-3x 3x² + x

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Q: For k(x)=(x−1)(−x2−2x)(2x−2), find the derivative of k(x) using the product rule. Do not include…

A: Obtain the derivative of the function k(x) as follows.

Q: Find the derivative of f(x) = e3 (5x² + x)

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Q: Find the indicated derivative.f '(x) for f(x) =(x + 3)(x − 4)x2 + 4

A: Given function f(x) = (x+3)(x-4)x2+4differentiating this function with respect to x we get…

Q: What rule should be used in getting the derivative of a.)  f(x) = x^5 b.) h(x) = 3(x + 4)^3 c.)…

A: a. fx=x5 The rule used to get the derivative of given function is, ddxxn=nxn-1 The derivative is,…

Q: What is the derivative of p(x)=(2x^4+2)^x

A: Using logarithmic differentiation we can find the derivative of the given function.

Q: am having trouble finding the equation of the line tangent to the graph of f at (1,1), where f is…

A:

Q: Given f(x) = -x² – 4x – 6, find f' (4) using the definition of a derivative. Provide your answer…

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Q: For the f(x) = 1/1-X^2 and g(x)= x^2/1-X^2 A) shows that these functions have the derivative B) what…

A: We need to find relation between f and g.

Q: Find the derivative of f (x) = e(x3 − 10x2 + 8 ) .

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: 3. Find the derivative of f(x) = 5x - 7 using the formula h f(x+h)-f(x) h

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Q: Find the domain of the function: f(x) = ln(4 - x)

A: we have to find the domain of the given function. f(x)=ln(4-x)

Q: Find the second derivative of the function. In(x) f(x) 6x2 f"(x) =

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Q: 2. For what values of x does the graph of f(x) = x³ + 3x² + x + 3 have a horizontal tangent line.

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Q: Given f(x) = 2, find f' (1) using the definition of a derivative. x-2 Provide your answer below:…

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Q: The function f(x)=(1/(x+1))+4 is decreasing on what interval(s)?

A: Consider the function  fx=1x+1+4

Q: If x is large, which function grows faster, f(x) = 2x or g(x) = x2 ?

A: Given,            fx=2x or gx=x2To find : if x is large, then which function grows faster.

Q: given the function f(x)=axln(x+b), where function is decreasing at x=1-b?

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Q: Find f''(x) for: f(x)=ln⁡x/4x

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Q: 2) Use the second derivative test to find the local extreme values of y= x5 – 5x³+7

A: Given that, We will find the local extreme values of the function as following.

Q: Find the derivative: g(x) = 6x² e- X O g'(x) = 6xe (2-x) Og'(x) = -12xe** O g'(x) = 6xe (2-x) O…

A: We have to find derivative of given function.

Q: Given f(x)=ln(5x), what is f'(x) when x=14.2?

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Q: 1. Use the second derivative test to find the relative extrema of the following function. f (x) =…

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Q: 1) Find the derivative of f(x)= 2x³+ 2x +12. Then evaluate the

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

Q: 1) find the derivative of y = 4x2 – 3x – 2 | | then evaluate f'(x+3)

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Q: Find the derivative of the function f(x) = 8x² – 14x by the definition of derivatives f(x+h)-f(x)…

A: Given function: fx=8x2-14x

Q: Find the first derivatives: 3. g(x) = (1 + 2x²)(x – x²)

A: As per bartleby guidelines we only give first question answers.

Q: If f(x)=2+ x-3 for all x, then the value of the derivative f'(x) at x 3 is

A: Given, f(x)=2+x-3

Q: Find an equation of the line tangent to the graph of f(x) at the point (5,9): f(x) = e-3x-1o + 8

A:

Q: #12) Find the derivative of the function f(x) = 35x2-1

A: The solution of the problem is given in the next step.

Q: Find the critical points of the following function. f(x) = 3x² + 5x - 1 What is the derivative of…

A: The given function is: fx=3x2+5x-1 To find the critical points of this function, equate its…

Q: 3) Find the derivative of f (x) = Vx3 – 4x²

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Q: (4) Find the derivative of h(x) = 5x³esec(x) .3 %D

A: We need to find the derivative of

Q: .4 In(12x + x), the derivative Given g(x) = g (x) is 12x4 + x 48x3 + 1 48x +1 12x4 + x 4x3 48x³ + 1

A: Given,  gx = ln12x4+x  We have to find the derivative g'x .

Q: 1. Find the derivative of the following. f(x)=13x* -7x²+5x²+11x+75 a.

A: Formulas:ddx(a f(x))=a ddxf(x)ddx(xn)=an xn-1ddx(a)=0;  where a is a…

Q: What is the derivative of f(x) = -3? Do not include "f'(æ) =" in your answer. For example, if you…

A: Given            f(x)=-3

Q: 8. Find the derivative of the function f(x) = x ² - 10x + 3 using First Principles.

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Q: Suppose the first derivative of a function is f'(x) = (x- 30)(19x+ 1). The function f is decreasing…

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Q: 4x Find the derivative of f(x)= In- 3x+2

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: The line tangent to the graph of f at x=3 is y=4x-2 and the line tangent to the graph of g at x=3 is…

A: Given that: The line tangent to the graph of f at x=3 is y=4x-2 and the line tangent to the graph of…

Q: Find the derivative of the function f(r) = 3x² – 12x by the definition of derivatives | f(x +h) -…

A: here option C is true 6x-12