6. f(x) = 3x² secx

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please help me in a step by step solution for problem #6?
Find f'(x) using the derivative rules.
1. f(x) = 4x² + 2x - 3
2.f(x) = √x+²/
3. f(x) = x³ (4x - 2)
4.f(x) = ²
5.f (x) = 2sinx – cosx + tanx
6. f(x) = 3x² secx
Transcribed Image Text:Find f'(x) using the derivative rules. 1. f(x) = 4x² + 2x - 3 2.f(x) = √x+²/ 3. f(x) = x³ (4x - 2) 4.f(x) = ² 5.f (x) = 2sinx – cosx + tanx 6. f(x) = 3x² secx
Expert Solution
Step 1

6).

The given function is:

fx=3x2secx

 

As we know that;

The Power law:

ddxxn=nxn-1

The Product rule:

f·g'=f'·g+f·g'

The common derivative:

ddxsecx=secxtanx

And

c·f'=c·f', where c is constant.

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