Let f(x)= xh(x). Given that h(-1) = 5 and h'(-1) = 8, calculate f'(-1). f'(-1) = [HINT: Use the product rule and the power rule.]

Q: If F(x) = f(g(x)), where f(-3) = 5, f'(-3) = 2, f'(1) = 3, g(1) = -3, and g'(1) = 5, find F'(1).…

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Q: Find f'(x) for the following function. Then find f'(5), f'(0), and f'(- 1). f(x) = 6x - 7x

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A: F′(x)=(29+lnx)22lnx+56​Explanation:If you have any problem let me know here in comment box for this…

Q: f'(x) = Differentiate the function f(x)=x197 +19.7.

A: Explanation of the answer is as follows

Q: Find f. f ''(x) = x−2,    x > 0,    f(1) = 0,    f(7) = 0

A: I am going to solve the given problem by using some simple calculus to get the reqiuired result.

Q: Consider the function. Find f'(x). f'(x) = Find F"(x). F"(x) = Find f"(-7) and f"(3). F"(-7) f"(3) =…

A: Given query is to find indicated derivative and the point where it's concave up and down.

Q: Let f'(x) = 8. Find f(x) when f(2) = 7. f(x) =

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Q: x2 Find f'(x) if f(x) = 5x – 3

A: As we know that: The Quotient rule: fg'=f'·g-g'·fg2 The Power rule: ddx(xn)=nxn-1 Given: f(x)=x25x-3

Q: Find f'(x) for f(x) = e2xsec-1(2x)

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Q: Find f such that f'(x)=6x-5, f(6)=0. f(x) =

A: Just i have integrate the given function and then use the given initial condition and then find the…

Q: Find f'(x) and f''(x). 2 x - 5x x+1 f(x)=

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Q: Find f'(x) and simplify. f(x)= Which of the following shows the correct application of the quotient…

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Q: Differentiate. F(x) = (8x + 3)² %3D F'(x) =

A: The given function is Fx=8x+32. We can take Fx=8x+32 as Fx=gx2 where gx=8x+3. Therefore, F'x=ddxgx2…

Q: Find f. f ''(x) = x−2,    x > 0,    f(1) = 0,    f(9) = 0

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Q: Find f'(a) for x2 f(x) = x + 6 at a = 3.

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Q: find f'(t) for f(x)=x/8x-8

A: We will need the quotient formula to find f'(x) Assume u and v, then find u' and v'

Q: Find and interpret f'(4) and f''(4) f(x) = 2/

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Q: find f'(x) when f(x)=-3/x2

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Q: f(z) %3D 8+12 f'(z) = Find f'(5). f'(5) =

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Q: Find F'(x) if F(x) = Vidt 3

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