Solution assignment 09 Product and Quotient rule

Return to Assignments Product and Quotient rule

Assignment 9

Differentiate:

y=\ln^2(x)

Solution

 We cannot differentiate this function directly using the product rule. However, we know:

y=\ln(x)\cdot\ln(x)

and now we can apply the product rule:

y'=\displaystyle\frac{1}{x}\ln(x)+\ln(x)\cdot\displaystyle\frac{1}{x}=\displaystyle\frac{2}{x}\ln(x)

We could also have applied the Chain rule with the same result.

Return to Assignments Product and Quotient rule

0
Web Design BangladeshWeb Design BangladeshMymensingh