Let F(x) = f(r°) and G(r) = (f(x))° . You also know that a = 12, f(a) = 2, ƒ'(a) = 15, f'(aº) = 5 Then F'(a) = and G'(a) =

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

A: SOLUTION-

Q: If f(x) = 2 sec (8x), find f'(x). Find f'(3).

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Q: Use the figure below to calculate the derivative, g' (7) if g (x) = f¬1 (x). (2.1,7.4), f(x) (2 ,7 )…

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

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Q: Find f'(2) if y = f(x) is the nonnegative function defined for x, y > 0 by the equation x" = y?.

A: To find f’ (2), if y = f (x).

Q: Given and ƒ¹(−1) = −5 and ƒ(−1) = 0. Find ƒ'(x) = 0 and find f(1) = = f"(2)=5x+1

A: given f''(x)=5x+1f'(-1)=-5  and f(-1)=0we know ∫xndx=xn+1n+1+c

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: If f(z) = 3 sin (z) then f'(z) =

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

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Q: First find f' and then find f. f"(x) = 10x³ + 2x? – 5x – 7, - f'(1) = –6, f(1) = -3. f'(x) = f(x) =

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Q: The derivative of y = 3cos(8x+6) is: 1. y' = 24 sin (8x+6) 2. y' = -24 sin (8x+6) 3. y' = -24 cos…

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Q: If f(x) = 6(sin(x))ª, find ƒ'(3).

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Q: Find f. f'(t) = sec(t)(sec(t) + tan(t)), = -1 f(t) =

A: Given that: f'(t)=sect(sect+tant),    -π2<t<π2, fπ4=-1

Q: Given f''(x) = 2x – 5, f'( – 3) = 1, and f( – 3) = 2. %3D a) Find f'(x) = b) Find f(2)

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Q: Find g'(4) given that f(4) = -1 , f'(4) = -2 , and g(x) = Vãƒ(x).

A: Use the product rule to find the derivative of the function: