A table of values for f, g, f', and g' is given. f(x) g(x) f '(x) g'(x) 1 3 2. 4 1 8 7 3 7 7 9 (a) If h(x) = f(g(x)), find h'(3). h'(3) = (b) If H(x) = g(f(x)), find H'(1). H'(1)

Q: 5x2 + 3x + 3 If f(x) then: f'(x) = f'(4) -

A:

Q: find the function f(x) if f'(x)=(2/1+x2)+(5/7)x5/7 and f(0)=2

A: Given, f'(x)=(2/(1+x2))+(5/7)x5/7

Q: Suppose k(x) = f(g(h(x))). Given the table of values below, determine (-1). f(x) g(x) | h(x) | f'(x)…

A: We have to find derivative

Q: (A) h(x) = 12f(x). %3D h'(2) = %3D (B) h(x) = -119(r). %3D h'(2) = %3D (C) h(x) = 2f(x) + 3g(x).…

A: Given Data: f’(2)=2 g’(2)=-1 (A) h(x)=12f(x) The derivative of the given function. h'x=12f'x For…

Q: 23 The derivative of the function f(x) = xª + is 23 4x3 (x²) 23 4x3 + (w³) 23 4x3 + (x) 1 4x 23 O 4x…

A:

Q: Find a formula for f-(x) and (f-1)'(æ) if ƒ(x) = -V5 – x f-' (x) = (5-1)'(x) =

A:

Q: Let F(x) = f(f(x)) and G(x) = (F(x))² . You also know that f(4) = 11, f(11) = 3, f'(11) = 8, f'(4) =…

A:

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…

A:

Q: Let F(x) = f(f(x)) and G(x) = (F(x))² . You also know that f(3) = 9, f(9) = 3, f'(9) = 12, f'(3) = 5…

A: Given functions are Fx=ffx and Gx=Fx2. Also we have given f3=9,f9=3, f'9=12, f'3=5 Differentiating…

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

A:

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)…

A:

Q: If f(x)=(2/x+3) g(x)=(1/x) To Find (f o g)(x)

A: Given fx=2x+3    gx=1x

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…

A:

Q: which one is y=g(x), y =g'(x), y=g''(x), y=g'''(x)

A: We have to fund which graph corresponds to g(x),g'(x),g''(x),g'''(x)

Q: Suppose k(2) = f(g(h(x)). Given the table of values below, determine k(-2). f(x) g(x) | h(x) | f'(x)…

A:

Q: = (F(x)). Let F(x) = f(f(x)) and G(x) You also know that f(3) = 12, f(12) = 3, f'(12) = 7, f'(3) =…

A:

Q: 2x2 + 3x + 4 If f(x) : then: f'(x) = f'(3) = %3D

A:

Q: Suppose that f is a function given as f(x) = 2x² + 7x - 2. Simplify the expression f(x + h). f(x +…

A:

Q: ƒ(xº) and G(x) = (ƒ(x))º . 8 ow that a 13, f(a) = 2, f'(a) = 3, f'(a = = and G'(a)

A: