Q. 19

# Find the derivati

Let f(x) = tan2x

We need to find the derivative of f(x) i.e. f’(x)

We know that, …(i)

f(x) = tan2x

f(x + h) = tan2(x + h)

Putting values in (i), we get  Using:    [ sin A cos B – sin B cos A = sin(A – B)

& sin A cos B + sin B cos A = sin(A + B)]    Putting h = 0, we get   [ sin2x = 2sinxcosx] = 2tanx sec2x Hence, f’(x) = 2tanx sec2x

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