1. Tardigrade
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  4. The derivative of an even function is always

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Q. The derivative of an even function is always

Limits and Derivatives

Solution:

Since f is even $\therefore f(-x) = f(x)$
$\therefore \,f' (- x) (- 1) =f'(x) \Rightarrow f'(- x) = - f '(x)$
$\therefore \, f'$ is an odd function.