Question
Let $f$ be a differentiable function satisfying $[f(x)]^{n}=f(n x)$ for all $x \in R$. Then, $f^{\prime}(x) f(n x)$(a) $f(x)$(b) 0(c) $f(x) f^{\prime}(n x)$(d) None of these
Step 1
Using the chain rule, we get: $$n[f(x)]^{n-1}f'(x) = nf'(nx)$$ Show more…
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