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Popular >

derivative of 3e^x+8/(\sqrt[3]{x)}

Solution

derivative of

3 e^{x} + \frac{8}{3 x}

Solution

3 e^{x} - \frac{8}{3 x ^{\frac{4}{3}}}

Solution steps

\frac{d}{d x} (3 e^{x} + \frac{8}{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{8}{3 x})

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

\frac{d}{d x} (\frac{8}{3 x}) = - \frac{8}{3 x ^{\frac{4}{3}}}

= 3 e^{x} - \frac{8}{3 x ^{\frac{4}{3}}}

Graph

Popular Examples

integral of 6/(sqrt(1-x^2))

\int \frac{6}{1 - x ^{2}} d x

derivative of ln(sqrt(pi))

\frac{d}{d x} (ln (π))

sum from n=1 to infinity of n^{-1/3}

n = 1 \sum \infty n^{- \frac{1}{3}}

integral of (x^3-x^2)/(x^2)

\int \frac{x ^{3} - x ^{2}}{x ^{2}} d x

derivative of cos(2x^3-x)

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

Frequently Asked Questions (FAQ)

What is the derivative of 3e^x+8/(\sqrt[3]{x)} ?
The derivative of 3e^x+8/(\sqrt[3]{x)} is 3e^x-8/(3x^{4/3)}
What is the first derivative of 3e^x+8/(\sqrt[3]{x)} ?
The first derivative of 3e^x+8/(\sqrt[3]{x)} is 3e^x-8/(3x^{4/3)}