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Popular >

derivative of 3e^x+4/(\sqrt[3]{x)}

Solution

derivative of

3 e^{x} + \frac{4}{3 x}

Solution

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

Solution steps

\frac{d}{d x} (3 e^{x} + \frac{4}{3 x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 e^{x}) + \frac{d}{d x} (\frac{4}{3 x})

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

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

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

Graph

Popular Examples

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limit as x approaches a of (1+1/x)^x

x \to a lim ((1 + \frac{1}{x})^{x})

derivative of 1/(10-x)

\frac{d}{d x} (\frac{1}{10 - x})

integral of (ye^{xy})

\int (y e^{x y}) d x

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\int \frac{( 3 x - 2 )}{4 x ^{2} - 4 x + 5} d x

Frequently Asked Questions (FAQ)

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