If f(x) 4 cot r + 10, then find the value of f'(-7) is O 4 50 4 50 10 50 V50 7,

Q: If f(x) = (x + 1)²(x+2), find f'(0)

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Q: Let F(x) = f(xf (x²)). Suppose that ƒ(4) = 6, ƒ'(4) = 1, and ƒ'(12) = 5. Find F'(2).

A: Given, .Given,  f(4)=6, f'(4)=1 and f'(12)=5.

Q: Suppose that f(2) = 2. f'(2) = 8, g(2) = 2, and g'(2) = -2. If F(x) = (f • g)(x) and G(x) = (g •…

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Q: Given f"(x) = 6x - 5 and f'(-3) = -1 and f(-3) = -2. Find f'(x) = and find f(4) = %3D

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Q: Is the mathematical statement correct. If f(x)=f(-x), then f’(x)=f’(-x). Explain why

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Q: Using the figure below, where f' (3) = 2.1.f' (6) = 3.0,f' (9) = 3.7,f' (12) = 4.2, find (f-1)'(12).…

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Q: Differentiate f(x)=1/x  - 6sqrt(x)

A: See the steps below and work out the steps as shown and the explanation is also shown below inside…

Q: (2x + 1)3 (1- 4x)2' find f'(x) and fully simplify. If f (x) =

A: fx=2x+131-4x2f'x=ddx2x+131-4x2

Q: Given f''(x) = 8x- 2 and f'(- 2) = – 2 and f(- 2) = 3. Find f'(x) = and find f(3)

A: Solution:

Q: Differentiate the function. u = Vi + 4V7 u' =

A: Given, u=t7+4t7 This can be written as, u=t17+4(t7)12 u=t17+4t72

Q: Find f. f"(x) = 4 + 6x + 24x², f(0) = 2, f(1) = 11 f(x)

A: Just integrating given equation twice and then find the value of integration constant with the help…

Q: Find f. f"(x) = 8 + 6x + 24x², f(0) = 5, f(1) = 15 f(x)

A: Find your answer below

Q: 5 If f(x) = 3 + + X Find f'(5). 5 x2, find f'(x).

A: If f(x)= 3+5/x +5/x2  Find f'(x) and f'(5).

Q: Find f given ƒ' (x) = 2x - 10/8/ 5 x6, x > 0, ƒ (1) = 3

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Q: For the function, find the following. 7 x5 120 f(x) = 8 + 8x + + %3D 6. 24 (a) f'(x) (b) f"(x)

A: given

Q: The inverse of the function f() = 3+ 9x is f '(1): O-3 O(@ 3) 9. Ox-9 O (r-9) 3

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Q: Evaluate f, Iz2 – 4| dz

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Q: Write a function in any form that would match the graph shown below

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Q: A function and its graph are given. (x) = x + 2x2 - 12x – 20 60 40 20 -8 -6 -4 -2 6 -40- (a) From…

A: Answer

Q: If f(x) 5æ - 2x 2x3 find f'(x) x4

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Q: бх + 3 f(x) = In 5х — 3

A: Given: fx=ln 6x+35x-3 To Find:  f'x=?

Q: 3 Let f(x) = (x³ + 4x + 7)³. Compute each of the following. f'(x) = ƒ'( − 2) =

A: given  f(x)=(x3+4x+7)3  we know  d(xn)dx=nxn-1d dx(constant)=0

Q: Let f(x) = x¹ + 2x³ + 3x² + 2x. Then f'(x) is and f'(2) is f''(x) is and f''(2) is

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Q: explain how to find the greatest values for f(x) and least values for f(x). given the f’(x) above…

A: we have to explain that how to find the maximum and minimum values by the help of the given…

Q: fWT)

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Q: If f(x) = 3x² x = find -9, find a so that f'(x) = 0. 10x - 9, Preview

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Q: Find f'(-3) for the following. f(x) = x3

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Q: Differentiate the function f(x) = 8sinx - 3cosx. Answer f'(x) =

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Q: For the given functions f and g, find the requested composite function. 5 3) f(x)=- x+6' 8(x) = Find…

A: The given functions are; f(x)=5/(x+6), g(x)=3/4x

Q: Let f(r) = 2e" + 7x + 6 , then f '(8) = Answer:

A: According to question given thatf(x)=2ex+7x+6

Q: If f(x) = find f"(x)

A: We first find the first derivative using the quotient rule