Write a question that could give an answer of (a^(3)b^(-a))/(c^(3)).

Apply Chain Rule: (d)/(dx)(x^(4)+ln(2x)+e^(x)) = (d)/(dx)(x^(4)) + (d)/(dx)(ln(2x)) + (d)/(dx)(e^(x))Differentiate x^4: (d)/(dx)(x^(4)) = 4x^(4-1) = 4x^3Differentiate ln(2x): (d)/(dx)(ln(2x)) = (1/x) * (d)/(dx)(2x) = 2/x

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Write a question that could give an answer of $\newline$ $(a^{3}b^{-a})/(c^{3})$ .

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Q. Write a question that could give an answer of

\newline

(a^{3}b^{-a})/(c^{3})

Apply Chain Rule: $(\frac{d}{dx})(x^{4}+\ln(2x)+e^{x}) = (\frac{d}{dx})(x^{4}) + (\frac{d}{dx})(\ln(2x)) + (\frac{d}{dx})(e^{x})$
Differentiate $x^4$ : $\frac{d}{dx}(x^{4}) = 4x^{4-1} = 4x^3$
Differentiate $\ln(2x)$ : $\frac{d}{dx}(\ln(2x)) = \frac{1}{x} \cdot \frac{d}{dx}(2x) = \frac{2}{x}$