44. Suppose that f(4) = 2, g(4) = 5, f'(4) = 6, and g'(4) = –3 Find h'(4) (a) h(x) = 3f(x)+ 8g(x) (b) h(x) = f(x)g(x) f(x) (c) h(x) : g(x) (x)6 f(x) + g(x) (d) h(x) =

Q: FX)=f(f(x))and G(x)= (F(x) F(4)=13f(13 )=3 f(13)=6f(4)=6 OF(4)- G'(4)=

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Q: If f (0) = 3, f'(0) = –1, g(0) = –2, and g'(0) = 5, find h' (0) (a) h(x) = 2f(x) – 3g(x) (b) h(x) =…

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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: If F(x) = f(g(x)), where f(-2) = 3, f '(-2) = 5, f '(-4) = 4, g(-4)= -2, and g'(-4)= 3, find F…

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Q: Let F(x) = f(x¹) and G(x) = (ƒ(x))ª . You also know that a³ = 14, ƒ(a) = 3, ƒ'(a) = 12, ƒ' (aª) =…

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Q: 10. (a) Given that f(x) = x² + 2 and g(x) find X - 3' f(8(x)) and state its domain. What is f(8(5))?…

A: 10). (a) Given function are fx=x2+2 and gx=2x-3. To find fgx and state its domain and also to find…

Q: х3+x2- х-1 The value of lim -is the same as x3 - 3x- 2 X+ -1

A: Let's find.

Q: 1. h(x) = 5f(x) – 4g(x) Answer. h'(-2) =

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: If f(x) = and g(x) = Vx, then the derivative of f(g(x)) is -VE (A) ( + 1) (B) -(x + 1)- -2x (C) ( +…

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Q: Suppose F(5) = -7, F(9) = 3, and F'(x) = f(x). = [ 7f(x) dx

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Q: If g(x)= 5X3+3x2+3x+5, what is (g-1)'(z) when z=5?

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Q: f(x) = In(5 + 4x)

A: Given: - The function is, f(x)=ln(5+4x) To find: - The derivative of the given function.

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: If f(x) = x³ + 6x +5, find (ƒ−¹)'(5) =

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Q: 6. If f(2) = 3,f'(2) = 5, g(2) = –1, and g'(2) = –4, find (f g)'(2).

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Q: Compute the derivative of f(x) = (x² + 3)e7x+5. O (x² +2x+3)e7x+5 O 14xe7x+5 O (7x2 + 14x + 21) e7+5…

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Q: If f(x) + x²[f(x)]³ = 10 and f(1) = 2, find f '(1). f(1) = -28 X

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Q: If g(x) = , what is g'(x)? 2x-1 x²+3x '

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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 f(x), f'(x), g(x), and g'(x) have the values shown: -6 I -7 f(x) -9 f'(x) -1 g(x) 10 g'(x)…

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Q: g(x)= 2f(x) +3, find g'(4) given that f'(4)=5.

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Q: Suppose f(x), f'(x), g(x), and g'(x) have the values shown: -8 - 2 10 -9 -7 - 6 f(x) 3 -7 8 -9 -1 -9…

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Q: If g(x)=2x−3, and h(x)=1−4x, find the following new functions,as well as any values indicated. A)…

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Q: If g(x)= ex, g(In7)=

A: Topic = Function

Q: 1. If h(x) = (f(x))² – (g(x))² , f' (x) = -g(x) and g' (x) = f(x), then h'(x) = (a) 0 (b) –4f(x).…

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Q: Sketch the following functions. Show all your work. N a) Domain b) Intercepts c) Symmetry d)…

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Q: Find h(x) if h'(x)= h(x): 5x (6-x²)² X and h(1) = -6.

A: NOTE: Refresh your page if you can't see any equations. . here we have take integration on both…

Q: 3 Find g(x) if g'(x) = (60x² 80x). 24x³8x² g(x) = - X and g(0) = 10.

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