Let F(x)=f(f(x))=f(f(x)) and G(x)= (F(x))2 and suppose that f(6)=7, f(7)=2, f′(7)=3 ,f′(6)=8 Find F′(6) and G′(6). F′(6)= G'(6)=

Q: suppose f (2) = 4, f ′(2) = 6, g(2) = −1, g′(2) = 3, and f ′(−1) = 5. Give h′(2) when h is defined…

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Q: 2 (1)If f(x)=x² +x, g(x) = x+3 ' then fog(1)= go f(1) =.

A: Solve the given function

Q: Let h(x) = f(x)g(æ). If f(x) = –3x² + 2æ – 3 and g(x) = -322 + 4x + 3, what is h' (1)? %3| Do not…

A: Given function is h(x)=f(x)g(x) where f(x)=-3x2+2x-3 , g(x)=-3x2+4x+3 f(1)=-3(1)2+2(1)-3=-3+2-3=-4…

Q: f(x) = x²e²

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Q: Find f. f"(x) = 8x + 5, f(1) = 9, f'(1) = 3

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Q: Suppose that f(x)f(x) is a function with f(90)=64 and f′(90)=4 Estimate f(92) f(92) =

A: Use the information on f(x) and f'(x) at x=90 to find the approximate value of f(92) (using…

Q: Let h(x)=f(g(x)). If f(−4)=−3, f′(−4)=−1, g(1)=−4, and g′(1)=3, find h′(1).

A: The formula one have to use here is f(g(x))'=f'(g(x))* g'(x)

Q: 11. What is (f+g) (y) for the functions f(y)=5y²-2y g(y)=-3y²-y-2. + 1 O (f+g)(y) = (f+g)(x) =…

A: Find (f+g)(y)

Q: Given f(4) = 13, f '(4) = 19, g(4) = 7, and g'(4) = – 10, find the value of h'(4) based on the…

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Q: S (z – 3)2 – 2 z< 3 sin (z – 3) 3<I Let F (z) Then lim F (z) =

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Q: , v(0) = and Find the position function, F(1), given that F(0) = a(t) = .

A: We have to find position vector

Q: If f(x) 2+9, g(z) = z-2 and h(z) = V, then f(g(h(x))) = %3D

A: fx=x4+9, gx=x-2, hx=x

Q: If F(x)= f(xf(xf(x))), where f(1) =3, f(3) =5, f '(1)=3, f(3) =4, and f(5) 5, find F (1). F'(1) -

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Q: Suppose that f(x) and g(x) are two functions and we know that: f(– 2) = 3 g( – 2) = 5 f'(– 2) = – 1…

A: We have to find

Q: Suppose F′′(x)=Ax+B, with F′(1)=r and F(1)=s. Find F′(x) in terms of A, B, and r. F′(x)= Now find…

A: given  F''(x)=Ax+BF'(1)=r and  F(1)=sF'(x)=∫(Ax+B)dx∫xndx=xn+1n+1+c

Q: If f(x)=2x-3, and g(x) is a function such that g"(0) = 4 and (fg)"(0) = -4, then g'(0) =

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Q: If F(x) = f(g(x)),

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Q: If F(x) = f(g(x)), where f(−4) = 9, f ′(−4) = 8, f ′(1) = 3, g(1) = −4, and g ′(1) = 4, find F ′(1).…

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