Work Step by Step
By the chain rule, we know that $$(f(g(x)))′=f′(g(x))g′(x)$$ In this problem, we let: $$f(x)=f(x) and g(x)=5x$$ And by substituting f(x) and g(x) into the equation, we get: $$f(5x)′=5f′(5x)$$
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