Question 1- True or False? if x<2 lx² +b__if x>2 ° If f(x) = {ax? ,then f(0) = 0 Question 2- Find h'(2). x+f(x) g(x) and f(2) = 2, f'(2) = -5, g(2) = 1, g'(2) = 0 If h(x) = Question 3 – Determine the value of h'(-1) If h(x) = x²f(x)g(x) and f(-1) = 2, f'(-1) = –3, g(-1) = -2, gʻ(-1) = 3 Question 4- The position of a car at any time t is given by the fuunction:

Q: 2x + 8 Find f'(x) if f(x) x² + 3 f'(x)

A:

Q: 4 X Find f'(-2) if f(x) = 5 - 4x. f'(-2)= (Simplify your answer. Type an integer or a fraction.)

A: given,  f(x)=x45-4x

Q: x sin if x # 0 Show that the function f(x)= is differentiable at x = 3D0 and f '(0)= 0. if x = 0

A: A  function is  differentiable at  point c if L f'c=R f'cwhere L f'c=limx→c-fx-fcx-c   =left hand…

Q: Find a formula for f-'(x) and (f -1)'(x) if f(x) = V х-2

A:

Q: find f'(x). 5x(x+2 tan(x)) sec (x) Find f'(3). f(x)= 5x² tan z sec z

A:

Q: Find f''(x). f(x) = (x² + 1) * %3D f"(x)=

A: We have to solve

Q: If f(x) f' (æ) = (x2 + 5x + 2)°, then f'(3) =

A: To find f'(x) and f'(3)

Q: f(x) = x + 4.5x² – 12x – 3 a) Find the first and second derivatives. f'(x) = 3x^2+9x-12 f"(x) = 6x+9…

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Q: 12) Let f(0) = -5, g(0) = 6, f'(0) = g(0) = -1. If h(x) = f(x) g(x), find h'(0). 13) With f, g as in…

A: To find h '(0) for the defined function h(x).

Q: If y = f(g(h(x))), then the derivative y/ is given by which formula? a) None of these Ob) f'(g(h(x))…

A:

Q: =) = 28(x). Find F =) = _8g(x) Fin 5 + f (x)

A: Function:  f(2)=-1,f'(2)=1 g(2)=-3,g'(2)=3 Let , g(x)=ax+b        g'(x)=a And f(x)=cx+d f'(x)=c

Q: If f(x) + x²[f(x)]³ If f(x) + x´[f(x)]° = 10 and f(1) = 2, find f'(1). [(x)/ DETAILS

A:

Q: 5-x * tan(x) If f (x ) = -sec(x) (a) f'(x) (b) f'(5)

A:

Q: Given f(x) = e2(x-1) – 4x² –x + Inx then find f'(1). I.-8 II. -4 III. -8x IV. -6 V. (r-1) Saloct ane

A: Answer and explanation is given below

Q: If f(x) = x+2/ 1-x then  f'(x) = ?

A: