Suppose f'(x) = sin(2x²). d ; f(7æ) =| dr d de f(32®) = [

Q: Evaluate the derivative of y = cos '2x - In 1-4x, where x = 0.125 -12> 2

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Q: Find the derivative a. f(x)= 6/(3x2-pi)4 b. f(x)=((3x2-pi x)4

A: (a) given,

Q: Let f(x) = 2ln(sin(x)) ƒ''(x) =

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Q: If f(x) = 6 sin¯¹(x²), find ƒ'(x). Find ƒ'(0.5).

A: This question is related to differentiation, We will solve it using given using given information.

Q: If ƒ(x) = 2x sin x cos x, find ƒ'(x)= Find f'(4) =

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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: What is the third derivative of f (x) = a + cosæ?

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Q: The derivative of the function f (x) is represented by f (x, isf"(x) = A. D. B. E. C.

A: We have to find the derivative of the following function -  f(x) = 1x3

Q: Find h' (x) if h(x) = sin (2e).

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Q: If f(x) = 4x sin x cos x, find f'(x)= %3D

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Q: f(x)=rad(3-sinx/4-cosx)

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Q: Find the derivative of the function In (2x+10) f (x) = x* sin (7x + 14) +

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Q: If f(x) = sin x, find ƒ'(x) 5 5 sin(x) cos(x) Find f'(2)

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Q: Find the derivative (x) = 2 In x – Vĩ

A: Given: fx=2lnx-x   As we know that; The sum/difference rule:  f±g'=f'±g' The Power law; ddxxn=nxn-1…

Q: Find the higher-order derivative. f"(x) = 12x³ - 38x² f(x) = 72 X

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Q: True or false: If f is a differentiable function, then de [f(x³)] = f'(3x²) dx

A: The objective of the question is to verify the given statement about the derivative of a function…

Q: x sin x f(x) = = -9e | f'(x) =

A: Use product and chain rule of derivative

Q: Find the derivative 3x (x4+ 1)5 dx d 3x (x4 + 1)5]- dx

A: To find the derivative of [3x·(x4 + 1)5]

Q: O 16xsec²(4x²)tan(4x²)

A: Given that the function