Find f(x) given that f"(x) = 3x^3 + 6x and f'(2) = 0 and f(2) = 0.

Q: If f(x) = 8x + 2 x² + 7 find f'(x).

A: In this question, we will find the derivative of the function.

Q: Find f. f ''(x) = 20x3 + 12x2 + 10,    f(0) = 4,    f(1) = 2

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Q: Find y=f(x), if f''(x)=3x^2, f'(0)=-7 and f(0)=2.

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Q: The inverse of the function f(x)=3x−4 is f^−1(x)=

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Q: Find(f ^−1)'(a).f(x) = 4x^3 + 4x^2 + 7x + 2, a = 2(f ^−1)'(a) =

A: Here a function f(x) is given and value of a is given we need to find the derivative of inverse of…

Q: find the inverse of V=f(t)=100(1-t/40)^2 then find f^-1(15)

A: Solve as general Replace t to v Solve for v V is inverse of f

Q: Find f(x) if f' (x) = x5 - 7 divided by x5 , and f(2) =4

A: Given, f'(x)=x5-7 divided by x5and f(2)=4f'(x)=x5-7x5f'(x)=1-7x5—(1)

Q: If f'(x) = 2x + 4 and f(0) = 2, then determine f (x). %3D %3D

A: Consider the given information f'x=2x+4 and f0=2. Integrate the function f'x=2x+4 with respect to x…

Q: f"(x) = 6x – 2 | and f' (-2) = 3 and f(-2) = 6. Find f' (x) = and find f(4) =

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Q: Let f(x)=2x^2−2 and let g(x)=5x+1. Find the given value. f[g(−2)]

A: Given: f(x)= 2x^2-2    g(x)= 5x+1

Q: Find f'(x) and simplify. x²+2 7x-8 f(x) = Which of the following shows the correct application of…

A: I have explained everything with in the solution. Please go through that.

Q: IF F"(X)=12X^2+24X-6 ,  F'(1)=10,   F(2)=20 , determine the function f.

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Q: Identify x-values where f"(x) > 0. (Enter your answer using interval notation.) Identify x-values…

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Q: Let f(r) = 2e + 7x + 6, then f(8) = %3D

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Q: Let f (x) = √√x² +8. f'(x) = f'(2) = Number f"(x) = f" (2) = Number

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Q: f"(x) = 2x + 2 and f'(-1) = –3 and f(-1) = 0. Find f'(x) = %D and find f(3) = ...

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Q: Find f"(x). f(x) = (x² +7)7 f"(x) =

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Q: If f(x) = 6 + 3x − 2x², find f'(4).

A: Given,

Q: Find f such that f'(x) = 2x² + 7x-4 and f(0) = 7. f(x) = ...

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Q: Find f. f ''(x) = 20x3 + 12x2 + 4,    f(0) = 6,    f(1) = 1 f(x) =

A: According to question,Given Derivative,f''x = 20x3 + 12x2 + 4,f0 =6,f1 = 1

Q: If f (x) 5x?, then f'(x) = 10x. True False

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Q: Find the function f that satisfies f '(x) = 3x^2- 8x+ 2 and f(1) = 6.

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Q: Find f if f'(x)=20x^3+4x+4 and f(1)=-2

A: Given,           f'x=20x3+4x+4  and f1=-2

Q: If f'(x) = 5x* – 3x2 + 4 and f(-1) = 2, then find f (x).

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Q: If f(x)=3x^2-3x+7, find f'(1)

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: For the function f(x) = 4x* – 3x - 4x2 +9, find f'"(x). Then find f"(0) and f"(9). ... f"(x) =

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Q: If 4x3 – 8 - f(x) = x4 find f'(x). Find f'(1).

A: Given Expression: fx=4x3-8x4 Simplify the expression fx=4x3x4-8x4 fx=4x-8x4 to find f'x,…

Q: Find f. f(x) = f"(x) = 6 - 6x - 40x³, f(0) = 5, f'(0) = 7

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Q: Suppose that f(x)=16e^x+18ln(x)Find f′(3)f′(3). f′(3)f′(3) =

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Q: Find f is f "(x) = 24x2 + 2x +10, f(1) = -7, f'(1) = -2. f(x) =

A: to find the value of f we will integrate the derivative of function given to us  f "(x) = 24x2 + 2x…

Q: f(x)=2x^2-6x-1, find x so that f’(x)=0

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Q: Find f(x) if f"(x) = 24x²+2x+8, f(0) = 5, f'(1) = -2.

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