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Popular >

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

Solution

derivative of

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

Popular Examples

integral of 1/s

\int \frac{1}{s} d s

(d^2)/(dx^2)((-2x+1)^3)

\frac{d ^{2}}{d x ^{2}} ((- 2 x + 1)^{3})

integral of (cosh(x))/(2+3sinh(x))

\int \frac{cosh ( x )}{2 + 3 sinh ( x )} d x

derivative of (sec(x)/(1+sec(x)))

\frac{d}{d x} (\frac{sec ( x )}{1 + sec ( x )})

derivative of (6x+2/(x+1))

\frac{d}{d x} (\frac{6 x + 2}{x + 1})

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)}