Derivatives of products and quotients Find the derivative of the

Madeline Lott

Madeline Lott

Answered question

2021-12-08

Derivatives of products and quotients Find the derivative of the following functions by first expanding or simplifying the expression.
g(x)=x21x1

Answer & Explanation

Esta Hurtado

Esta Hurtado

Beginner2021-12-09Added 39 answers

Step 1
Given:
g(x)=x21x1
Solution:
Taking derivative using quotient rule:
g(x)=ddx(x21x1)
Simplify:
x21x1=(x1)(x+1)(x1)=(x+1)
Step 2
Hence,
Now differentiating the simplified expression:
g(x)=ddx(x+1)
=ddx(x)+ddx(1)
=1
Hence,
The derivative of :
g(x)=x21x1=1

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