Find g(f(x)) for  f(x) = 4x - 8 g(x) = 7 - 6x

Q: What is g'(x) when g(x) = 1 3z²+6z+7 2z²+2x³

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Q: What is the length L of the interval on which the function f(x)=x3−6x2−15x+8 is decreasing?

A: Given

Q: Find the inflection points of f(x) = –x* + 24x² + 5x – 4.

A:

Q: Find the point at which the line f(x) = 3x – 9 intersects the line g(x) 3x + 9 -

A: The function f(x)=3x-9 and g(x)=-3x+9 intersects when f(x)=g(x).

Q: Find f'(a). (x) = 4x2 - 5x + 3 f'(a) - 0

A: Given ; fx = 4x2 - 5x + 3

Q: Find the inflection point of the curve f(x)= x³ – 12x²+7x+1.

A: An inflection point is a point on the graph at which the second derivative is equal to zero or…

Q: Solve for g'(x).

A: Theorem used:

Q: Find the critical points of the functionf (x) = 4x³ – 3x and the inflection point of the function…

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Q: How is the graph of f (x) = x3 − 12x2 + 36x − 16 related to the derivative f'(x) = 3x2 − 24x + 36?

A: We have been given the equations f (x) = x3 − 12x2 + 36x − 16 and the equation of the derivative…

Q: Find the extreme values of f(x) = 5 - 2r2, IS1 lx+ 2, x> 1.

A: Given function is defined in two intervals  So firstly we will discuss  for  x≤1 f(x)=5-2x2 we have…

Q: Find the value of the constant k that makes the function continuous. 2x-2x-12 if x+3 g(x) = , x-3 kx…

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Q: # 3) Find f(x) if f'(x) = 9x2 – 12x – 5 and f(2) = 4 -

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Q: If f(x) = x2/3x +1,then f'(x) -3x2- 2х (A) V3x+1

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Q: Find (f-g)(x) for f(x) = 4x- 9 and g(x) = 3?

A: Given, fx = 4x-9   gx = 3x2   We have to find f-gx

Q: Find the value of the constant k that makes the function continuous. 2x2 - 4x - 16 if x #4 g(x) = х-…

A: Solving by continuous definition we have

Q: Find the absolute maximum and absolute minimum of the function f (x) = x³ – 3x²+8 on the interval…

A:

Q: Find (fo g)(-2) when f(x) = - 4x -4 and g(x) = 9x +3x- 2.

A: Here, the given functions are: f(x)=-4x-4,g(x)=9x2+3x-2

Q: Find f"(x). f(x) = 6x -12x- t"(X) =

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Q: Find f(x-2). f(x) = 2x² – 5x g(x) = 3x³ 2x-13x+ 18 2x2 - 5x + 18 8x+3

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Q: Find f'(x) for the function. 6x3 - 2x + 1 f(x) x2 "(x)

A: Given query is to find the derivative of the function.

Q: ) Find f'(x) given that f(x)= 2x² + 3 x² - 5x+2

A: Given: fx=2x2+3x2-5x+2 The quotient rule of differentiation states that d dxfg=gdfdx-fdgdxg2. The…

Q: and g(x) : 3x-1 f (x) = 7 x-3'

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Q: Find the domain of f(x) = ln(5x + 2).

A: fx=ln5x+2

Q: The derivative of f(x)= (x2+2x)(x²-2x) is a. 4x3-8 O b. x-4x2 с. none d. 3.

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Q: Find f'(x) of f(x) =3 + 2x²

A: Consider the given function fx=3+2x2   Differentiate the given function with respect to x.…

Q: Find the general solution for: X' = là X. -3 %3D

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Q: Find the particular solution determined by the initial condition. f'(x) = 3x273 - 6x; f(1) = - 7…

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Q: Find f'(a). f(x) = 3x 3x + 2 3x² f'(a) =

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Q: Find (f - g)(x). f(x) = 2x – 2, g(x)= 4-x x-6 O 3x-6 2x -6 2x+6

A: Given problem:- Find (f- g)(x).   f(x) = 2x - 2, g(x) = 4 - x

Q: The critical points of the function f (x)=x' – 9x² +8 are

A: For critical numbers we put f'(x) = 0

Q: n f(x)=6x– 2 and g(x)=x² – 3x – 4 , find (f•g)(x). | -

A: Given :          fx=6x-2gx=x2-3x-4

Q: f (x) = 3c³ -3x² + -3 at x= - 1

A:

Q: Find f '(a) for f(x) = 3 − 2x + 4x2

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Q: Find the local extremum  f(x)=x3+3x2-9x+6

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Q: If f(x)= 2x²and g(x)=3x+1, what is f(x)+g(x)?

A: Solution is written in below steps.

Q: 7.If f(x)= 2x – 1 and g(x)= x² – 2x, find f(3)/g(2). -

A: Given fx=2x-1 and gx=x2-2x. To find: f3g2 Solution: Finding f3.  f3=2·3-1=6-1=5 Now, finding g2.…

Q: find the range of f(x)=x−4/x2−16

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Q: What is g'(x) when g(x) = ln (x³ + 3x² + 5x + 6)?

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Q: Find the absolute maximum and minimum values of f(x) = 10x(2-lnx)

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Q: Find (f-1)'(a). f(x) = 5x3 + 4x2 + 6x + 1, a = 1

A: Topic:- application of derivatives

Q: Solve for f(-1). f(x) = -3x + 3 %3D

A: The function is given as fx=-3x+3 The objective is to find the value of f(x) at f(-1)

Q: Find the absolute maximum and minimum values ​​of the function f(x)=x2−3x2+1 in the interval [-1/2,…

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Q: Find the extreme values of the function f(x) = (x² + 2x)³ on the interval [-2, 1].

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Q: f(x) = x2 + 4x – 5, x < -2 -

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Q: f(x) = x²+6x+5 2-1

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

Q: Find f'''(-3) f(x)=4x^5-3x^4+5x^2-15

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Q: f (x) = x² and g(x) = 3x – x² Зх — -

A: Let f1 and f2 are the two function of two curve .Then area between them         A = ∫lower…

Q: Find (f -g)(x). f(x) =x² +3, g(x)= V5-x

A: