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Chapter 2: Q 19. (page 238)

Find the derivatives of the function: f(x)=lntan2x.

Short Answer

Expert verified

The derivative of f(x)=lntan2xis2sinxcosx.

Step by step solution

01

Given information   

The given expression is f(x)=lntan2x.

02

Simplification     

f'(x)=ddx(lntan2x=1tan2x脳2tanxsec2x=2sinxcosxHence,f'(x)=2sinxcosx.

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