Explanation Given : Function is x 2 + tan x 3 x + 2 tan x . Calculation: Differentiate the function with respect to x by using quotient rule as follows: d f ( x ) d x = d d x ( x 2 + tan x 3 x + 2 tan x ) = ( 3 x + 2 tan x ) d d x ( x 2 + tan x ) − ( x 2 + tan x ) d d x ( 3 x + 2 tan x ) ( 3 x + 2 tan x ) 2 = ( 3 x + 2 tan x ) ( 2 x + sec 2 x ) − ( x 2 + tan x ) ( 3 + 2 sec 2 x ) ( 3 x + 2 tan x ) 2

6th Edition

ISBN: 9781465208880

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 3.3, Problem 30PS

To determine

The derivative of the function f(x)=x2+tanx3x+2tanx .

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Chapter 3.3, Problem 29PS

Chapter 3.3, Problem 31PS

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Chapter 3 Solutions

Calculus

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The derivative of the function f ( x ) = x 2 + tan x 3 x + 2 tan x .

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Chapter 3 Solutions