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Popular Calculus >

derivative of 7e^x+2/(\sqrt[3]{x})

Solution

\frac{d}{d x} (7 e^{x} + \frac{2}{3 x})

Solution

7 e^{x} - \frac{2}{3 x ^{\frac{4}{3}}}

Solution steps

\frac{d}{d x} (7 e^{x} + \frac{2}{3 x})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (7 e^{x}) + \frac{d}{d x} (\frac{2}{3 x})

\frac{d}{d x} (7 e^{x}) = 7 e^{x}

\frac{d}{d x} (\frac{2}{3 x}) = - \frac{2}{3 x ^{\frac{4}{3}}}

= 7 e^{x} - \frac{2}{3 x ^{\frac{4}{3}}}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of 7e^x+2/(\sqrt[3]{x}) ?
The derivative of 7e^x+2/(\sqrt[3]{x}) is 7e^x-2/(3x^{4/3)}
What is the first derivative of 7e^x+2/(\sqrt[3]{x}) ?
The first derivative of 7e^x+2/(\sqrt[3]{x}) is 7e^x-2/(3x^{4/3)}