Let f(x) = 5x² cos(2x). f'(x) = -10x²(2x) + 10x cos(2x) f'(5) = 0 f"(x) = -10x² sin (2x) + 10x cos(2x) f"(5) = 0

Q: 2. Find f'(x): A. f(x)= 3x²+4 2x²-5

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Q: ind f'(x). f(x) = ln(cos5(3x4))

A: topic:- derivatives

Q: If f(x) f'(x) = f'(1) = 2 sin x 3 + cos x 2(1+3 cos(x)) (3 + cos(x))² then

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Q: If f(x) = f'(x) = ƒ'(1) = = 2 sin x 3 + cos x > 3 cos (1) () then 3 cos (x) + sin(x) (3 + cos x)² X…

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Q: f(x)=x+sinx / x2+cosx f '(x)=?

A: Given function: Now,

Q: If f(x) f'(x) = f'(4) = = 4 sin x 3 + cos x " then

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Q: Find f'(x) if f (x) = 3 cos x + 8 sin x. f'(x) =

A: We need to differentiate the given Function.

Q: Let f'(z)= 8cosx-7sind 2 f'() = 0 f(x) = 8 sin x + 7 cos x

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Q: If f(x) = f'(x) = f'(1) = 5 sin x 3+ cos x then

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Q: Let f(x) = 8x sin ¹(x). Find f'(x). f'(x) = Find f'(0.4). f' (0.4) =

A: Let To find .To find .

Q: Find f. f '(x) = cos(x), f(0) = 6, f '(0) = 3, f "(0) = 5

A: Differential equation: f'''(x)=cosx f(0)=6, f'(0)=3 f''(0)=5

Q: If f(x) = 7cos(x), what is f'(x) ?

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Q: Find f'(x) = = 4-5 sin(x) cos²(x) f(x) = -4 sin(x) + 5 cos(x)

A: Given : f(x)=-4sin(x)+5cos(x)   To Find : f'(x)

Q: Given f’(x)= 3 cos x - 9 sin x and f(0)= -6 find f(x)

A: We can solve this as follows:

Q: Suppose f'(x) = sin(5a²). d dz F(8z) d f(7=*) = | dx

A: Given f'(x)=sin(5x2) which means ddxf(x)=sin(5x2). Now we need to findddxf(8x) and ddxf(7x8), now…