Let f(x) Find the values of x where f'(x) = 4. x + 5 Give exact answers (not decimal approximations). The greater solution is x = The lesser solution is x =

Q: Given f' (x) 3x2 + 5x + 2 and f(1) = -8, find f(x).

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Q: Differentiate the following function: f' (t) = f(t) = √t – .

A: f(t)=t6-1t6d dt(tn)=ntn-1we know ba=(b)1a

Q: 3x - 2x+5 5. Find the instantaneous rate of change of f(x)= at x=-3 (Round to 4 decimal places).…

A: Solution:-

Q: 1) The distance, travelled by a car, f(x), in meters, after x hours, can be represented by f(x + 20,…

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

Q: Let f(x) = x² g(x³). Suppose g(64) = 7, g(48) = -4, g' (64) = 4, and g' (48) = -3. Find f'(4) =

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Q: If the function f(x) is defined as f(x) = = (4-2√√x)² √x -,x>0 Then, what is the value of ƒ'(16) = ?

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Q: 3. Consider the following table of values for two functions f and g: X 1 2 3 4 f(x) 2 4 1 3 f'(x)…

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Q: f(x) = 3x² (1 + 7x-3

A: The given function is:fx=3x21+7x-3

Q: If f(x) = 6 + 5x – 5a, find f'(- 3).

A: Topic = Derivative

Q: 5. Find (f-1)'(c) for the following functions: (a) f(x) = 5x³ + 4x³, c = 9. (b) f(x) = 3t – , c =…

A: We will find out the required values.

Q: 2. Determine the function f (x) for which f'(x) ==++ 3 1 + 8x3 x-2 x2 and f(1) = 7.

A: => f(x)= ∫ f'(x)dx

Q: Given f (x) find f^−1 (x) for each of the following:  f (x) = 2x−3/7+x

A: Given function is:

Q: Find fif f'(x) = 8x³ + 16x + 6 and ƒ(1) = −3. Answer: f(x) =

A: f'(x)=8x3+16x+6f(1)=-3∫xndx=xn+1n+1+c

Q: Find the limit. (If the limit is infinite, enter 'o' or '-∞', as appropriate. If the limit does not…

A: Answer(a): The given limit is: limx→∞e-x+3cos7x Now, apply the limit property…

Q: Sketch the graph of y = f(x) with emphasis on concavity. Label all the intercept points, relative…

A: Substitute some random values of x and obtain the values of fx. x fx -5 -2.08 -2 0 -1 0.25…

Q: Given f () = 7z - 5 and f'(-3) = – 3 and f(- 3) = -1. Find f'(z) 95 5x- 2 - and find f(3) =

A: Given, f"(x)= 7x-5 f'(-3)=-3 f'(-3)= -1

Q: Please help me with this thanks! full detailed solution

A: The objective of this question is to find the derivative of the function f(x) = sqrt(x) + 2 at the…

Q: For each problem, find the function f based on the information given. 13. f'(x)=√x(6+5x) 14.…

A: 13) Given:  f'(x) = x6+5x ⇒f'(x) = 6x12+5x32 Integrate both sides with respect to x we get

Q: Let f(x) = = f' (1) = 8x2-3. Then x + 1 4x( 4x4 - 3x² - 4) 4r² (x² + 1)² 4

A: Given,

Q: x + 2 Consider the function f(x) Compute each of the following. Simplify your answer and use exact х…

A:

Q: If u(x) = x3, then du = 3x2.

A:

Q: Find (f-1)'(a) for f(x) = 3x – 3 when a = 0. Enter an exact answer. Provide your answer below:…

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Q: Consider the function f(t) = 4 sec²(t) — 8t². Let F(t) be the antiderivative of f(t) with F(0) = 0.…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Find f (x). 2. X f(x) = + 2 5x- 1 っX

A: Given So,        f'(x)=x2+25x-1' Apply the Quotient Rule:  fg'=f '·g-g'·fg2…

Q: 10. If f(x) = 2x³ - 3 x3, then f'(1) is which of the following? (B) -3 (C) -15 (E) 7 (A) 15 (D) -1

A: given function is

Q: Given that f "(x)=-2+12x-12x2, f(0)= 4, and f '(0)=12. Find f(x)-

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Q: In each case, find the general solution, using real-valued functions: a. y'"-2y""+y" = 0. b. y" +…

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Q: (2/x+1)(x– 1) Find the f'(x) of the function f(x) = x+3

A: Given, f(x) = 2x+1x-1x+3 f(x) = 2x32-2x12+x-1x+3 We know that ddxxn = nxn-1  and quotient rule of…