f 1 1 3. The graphs of f(x) and g(x) are given above. Find the following: (i) S'(1), where S(x) = f(x) + 2g(x). %3D (ii) P'(1), where P(x) = e"g(x). tan x (iii) Q'(1), where Q(x) g(x) *

Q: (2) Find the derivative of each of the following functions (a) f(x) = (1+x*)²/3 (b) g(x) = V1+…

A: a) We use the power rule and chain rule

Q: Below is the graph of f"(x). For what values of x is f(x) concave up? 1S (x) + + -8 -7 -6 -4 -3 -2…

A: Topic:- Functions

Q: For the function f(x) = 7x – 3x+ 4, find f'"(x). Then find f"(0) and f''(6). f"(x) =(Simplify your…

A:

Q: Use the guidelines from section 4.5 to graph the function f(x) = x2/3 (6 – x)/3 For your…

A:

Q: Determine h(1) and h'(1). h(x) = [f (x)]2

A: The function h(x) is a composite function since its input is another function f(x). Now h(x)=[f(x)]2…

Q: Use the table below to find h'(-1) for h (x) = f (g (x)). I()9() lO() 1/2 0. -2 -3 1. -1 -1 -2 -2 -2…

A: Given that hx =fgxTo find : h'-1Solution hx =fgxh'x =f'gx×g'xx=-1h'-1 =f'g-1×g'-1h'-1 =f'-2×2h'-1…

Q: 4 3 f(x) = arcsec %3D f'(x) =

A: First simplify the given function than use chain Rule of derivative.

Q: Use the values in the table below to answer each of the following: f(x) g(x) f'(x) g'(x) 5 1 -1 -3…

A: Table

Q: posted

A: Please refer to the image below

Q: 2a5 Given that f(x) = and values h(-1) =-3. h'(-1) = 7, find f(-1) AND f'(-1). h(x) %3D Show your…

A: f(x)=2x5h(x), and values h(-1)=-3, h'(-1)=7

Q: Let P(x) = F(x)G(x) and Q(x) = F(x)/G(x), where F and G are the functions whose graphs are shown F G…

A:

Q: 27: let f(x) = tan(x)+ sec(x) find f"(x)

A: As per our guidelines, we are allowed to answer only one question. Since you have asked multiple…

Q: 1 3. Let f (x) = 4x +- х Find f'(x) S f(x)dx а. b. Find

A: Here given as fx=4x+1x Differentiate as f'x=ddx4x+1x=ddx4x+ddxx-1=4-x-2=4-1x2

Q: (X),4 %3D (b) Compute the derivative of f(x). (g) 4 (x)J – (4 + x) 10xh + 5h“ – x + 8 8 + x – 2. (a)…

A: