(1) If f(x) = = x², then f'(x)= (3) If h(x) (2) If g(x) = - 6x5, then g'(x) = = 1 = I then h'(x) =

Q: If f(x) = -csc (G) then f'(x)

A: Given f(x)=-csc(x/2)

Q: Find h'(2), given that f(2)= -5, g(2) = 3, f'(2) = -2, and g'(2) = 4. (a) h(x) = 4f(x) - 2g(x)…

A: Answered first three subparts as per our company guidelines.

Q: Suppose that f(2) = -4, g(2) = 5, f '(2) = -1, and g'(2) = 2. Find h'(2). (a) h(x) = 3f(x) – 5g(x)…

A: Since, you have asked multiple parts in a single question, we would be answering only the first…

Q: Given f(x) = g(x)h(x), find f'(3) given g(3) = 4, g'(3) = -1, h(3) = -5 and h'(3)=1.

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Q: Let F(x) = f(f(x)) and G(x) = (F(x))². You also know that f(5) = 6, ƒ(6) = 2, ƒ'(6) = 6, ƒ'(5) = 12…

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Q: if f'(2) =3 and g'(2) =-2 Find h'(2) if h(x) = 2f(x)  F'(2) if F(x) = 3f(x) -4g(x)

A: To find the value of h'(2) and F'(2)

Q: Given f''(x) = 7x + 4 and f'(0) -2 and f(0) - 3.

A: Given that f"(x)=7x+4 and f'(0)=-2 and f(0)=-3Our Aim is to find f'(x) and f(4)=?

Q: if f(2) = -3 , f'(2) = 4 g(2) =1 g'(2) = -5 then find F'(2) where F(x) = f(x) *g(x)

A: f(2)=-3, f'(2)=4, g(2)=1 and g'(2)=-5F(x)=f(x).g(x)

Q: Let F(x) = f(x5) and G(x) = (ƒ(x))5 . You also know that a¹ = 14, ƒ(a) = 3, ƒ'(a) = 8, ƒ' (a³) = 6…

A: Use the following formulae, to obtain the solution. Chain rule for differentiation:…

Q: Let F(x) = f(f(æ)) and G(x) = (F(x))² . You also know that f(3) = 6, f(6) = 2, f'(6) = 5, f'(3) = 15…

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Q: If f(x) = -4x³ - 5x² − 3x + 7, compute the first, second, and third derivative of f(x) - f'(x) =…

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Q: 53х dx (53x + 1)2 A) 3 V5x + 1 + C B) – 3 V5x + 1 + C In5 3 C) 3ln5 (V5x + 1) + C D) V5x + 1 + C 3…

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve…

Q: If f(x) = 5x² In(6x), then f'(x) = f''(x) = f'''(x) f(4) (x) = f (5) (x)

A: We have to find derivative of give function.

Q: f(x) = (x² + 5x + 2)³ f' (x) = f'(4) = Natu

A: Use differentiation rule to calculate value

Q: If F(x) = f(g(x)), where f(-1) = 9, f'(-1) = 3, f'(5) = 4, g(5) = -1, and g'(5) = 8, find F'(5). %3D…

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Q: If f(x) = (x2 + 5x + 8)*, then f'(x) = f'(5) =

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Q: Suppose F(x) = f(x³), G(x) = (f(x))³ and: a² = 10, f(a) = 3, f'(a)=4, ƒ'(a³) = 8. Find:

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Q: Given f''(x) = 6x + 5 and f'(0) = 6 and f(0) Find f'(x) and find f(3) = = = - 6.

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Q: If f(x)=3(x²) =e , then find f'(x)=

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Q: Find h' (2) given h (x) = ƒ (x) g (x and given -3, f' (2) = 5, and gʻ (2) = 1 f (2) = 3, g (2)

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Q: ng the table below. 3 4 3 1 4 3 3 2 1 2

A: We have to find the value of the given following conditions according to the given information