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Popular >

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

Solution

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

Solution

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (8 e^{x}) = 8 e^{x}

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

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

Graph

Popular Examples

integral of 5/(\sqrt[3]{x^2)}

\int \frac{5}{3 x ^{2}} d x

integral of 4/((x+1)(x+3))

\int \frac{4}{( x + 1 ) ( x + 3 )} d x

limit as x approaches infinity of (8^x)/(9^{x+1)}

x \to \infty lim (\frac{8 ^{x}}{9 ^{x + 1}})

integral of (32)/(1-cos(4x))

\int \frac{32}{1 - cos ( 4 x )} d x

integral from 0 to 4 of x/(x^2-4)

\int_{0}^{4} \frac{x}{x ^{2} - 4} d x

Frequently Asked Questions (FAQ)

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