If f(x) = sin(x³), find f'(x). 3x² cos(x³) Find f'(2). ४ OF

Q: If f(x) = 4x(sin x + cos a), find f'(x) = COS f'(2) =

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Q: Given f''(x) = - 36 sin(6x) and f'(0) = 6 and f(0) = 0. 70 Find f)

A: Given that      f"(x)= -36sin(6x) , f'(0)=6 and f(0)=0 .

Q: If f(x) = 6 sin x + 9 cos a, then f'(x) =

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Q: If f(x) = sin? x, find f'(x) Find f'(5)

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Q: If f(x) f'(x)= 5x sin x cos x, find Find f'(4) = %3D

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Q: Given f''(x) = - 16 sin(4x) and f'(0) Find f ¹ƒ(3/3) = = 6 and f(0) = - 5.

A: SOLUTION-

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

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Q: Given f''(x) = = Find 76 10 - - 36 sin(6x) and f'(0) = 2 and ƒ(0) = − 6.

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Q: / If f(x) = 2x (Sinx+cosx) find. f'(x) = ' (5) =

A: Given function  f( x ) = 2x( sinx + cosx )

Q: If f(x) = 5 sin−¹(x³), find ƒ'(x). 15x² cos(x³) sin(2³)² x3 Find f'(0.4). X

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

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Q: Given f(x) = 4 sin x cos x, find f'(x). f'(x) =

A: Given: f(x)=4sinxcosx

Q: Given that f'(x) = cos(x), ƒ'(π/2) = 6 and f(7/2) = 14 find: f'(x) = f(x) =

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Q: If f(w) (3w), find f'(w). Use exact values. = COS f'(w) =

A: We can find the exact answer as below.

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

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Q: If find f'(x) f(x) = = 5x² tan x sec x

A: Given :fx=5x2tanxsecx

Q: Find f'(0) if f (x) = In(cos .x).

A: we have to find f'(0)

Q: If f(x) = cos x, then f'() = A. B. - C. - C. D. √3

A: