Let . Which of the following is…

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

Let f(x)=7x43f(x)=7x^{\tfrac{4}{3}}. Which of the following is f′(x)f'(x)? (a) 43x13\dfrac{4}{3}x^{\tfrac{1}{3}} (b) 283x13\dfrac{28}{3}x^{\tfrac{1}{3}} (c) 283x−13\dfrac{28}{3}x^{-\tfrac{1}{3}} (d) 283x43\dfrac{28}{3}x^{\tfrac{4}{3}}

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