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Popular >

derivative of 6e^x+2/(\sqrt[3]{x)}

Solution

derivative of

6 e^{x} + \frac{2}{3 x}

Solution

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

Solution steps

\frac{d}{d x} (6 e^{x} + \frac{2}{3 x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (6 e^{x}) + \frac{d}{d x} (\frac{2}{3 x})

\frac{d}{d x} (6 e^{x}) = 6 e^{x}

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

= 6 e^{x} - \frac{2}{3 x ^{\frac{4}{3}}}

Graph

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\int (2 + tan (\frac{x}{2})) sec^{2} (\frac{x}{2}) d x

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\frac{d}{d x} (e^{0.0211 x})

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x \to 2 + lim (2 x^{2} - 6)

integral of 20x^3+12x^2+8

\int 20 x^{3} + 12 x^{2} + 8 d x

Frequently Asked Questions (FAQ)

What is the derivative of 6e^x+2/(\sqrt[3]{x)} ?
The derivative of 6e^x+2/(\sqrt[3]{x)} is 6e^x-2/(3x^{4/3)}
What is the first derivative of 6e^x+2/(\sqrt[3]{x)} ?
The first derivative of 6e^x+2/(\sqrt[3]{x)} is 6e^x-2/(3x^{4/3)}