Apply the quotient rule to find the derivative f'(x). 2x+1. f(x) Vx? + 1 ,2 {...

 

Transcribed Image Text:

Apply the quotient rule to find the derivative f'(x). 2x+1. f(x) Vx? + 1 ,2 { f(x) = [ (2x+1)/ (sqrt(x^2+1))] } QUESTION 2 higher derivatives a) Find the first three derivatives of f(x), f'(x), f"(x), f''(x). ex f(x) { f(x) = [ (e^x) / (x) ] } b) Find the first four derivative of f(x), f'(x), f"(x), f"(x), AM(x). f(x) = x2 cos x { f(x) = x^2 cos x } QUESTION 3 Apply the chain rule to find the derivative f(x) for each of the following functions f(x) a) power rule 14 f(x) = 2x4 + 3x³ - 4x + 1 { f(x) = [cuberoot( 2x^4 + 3x^3 - 4x + 1 )]^4 b) trigonometric f(x) = cos [5 x² + 4] { f(x) = cos [5 x^2 + 4] } c) exponential f(x) = etan x { f(x) = e^(tan x) } Apply the quotient rule to find the derivative f'(x). 2x+1. f(x) Vx? + 1 ,2 { f(x) = [ (2x+1)/ (sqrt(x^2+1))] } QUESTION 2 higher derivatives a) Find the first three derivatives of f(x), f'(x), f"(x), f''(x). ex f(x) { f(x) = [ (e^x) / (x) ] } b) Find the first four derivative of f(x), f'(x), f"(x), f"(x), AM(x). f(x) = x2 cos x { f(x) = x^2 cos x } QUESTION 3 Apply the chain rule to find the derivative f(x) for each of the following functions f(x) a) power rule 14 f(x) = 2x4 + 3x³ - 4x + 1 { f(x) = [cuberoot( 2x^4 + 3x^3 - 4x + 1 )]^4 b) trigonometric f(x) = cos [5 x² + 4] { f(x) = cos [5 x^2 + 4] } c) exponential f(x) = etan x { f(x) = e^(tan x) }