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Popular >

derivative of f(x)=2e^x+8/(\sqrt[3]{x)}

Solution

derivative of

f (x) = 2 e^{x} + \frac{8}{3 x}

Solution

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

Solution steps

\frac{d}{d x} (2 e^{x} + \frac{8}{3 x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 e^{x}) + \frac{d}{d x} (\frac{8}{3 x})

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

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

= 2 e^{x} - \frac{8}{3 x ^{\frac{4}{3}}}

Graph

Popular Examples

integral of e^{y^{88}}

\int e^{y^{88}} d y

tangent of f(x)=4x^3-7x^2-15x+10 tangent of

f (x) = 4 x^{3} - 7 x^{2} - 15 x + 10

tangent of y=7x-4sqrt(x),(1,3)tangent of

y = 7 x - 4 x, (1, 3)

(y/x+5x)dx+(ln(x)-2)dy=0

(\frac{y}{x} + 5 x) d x + (ln (x) - 2) d y = 0

derivative of 0.08e^xx^2 derivative of

0.08 e^{x} x^{2}

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=2e^x+8/(\sqrt[3]{x)} ?
The derivative of f(x)=2e^x+8/(\sqrt[3]{x)} is 2e^x-8/(3x^{4/3)}
What is the first derivative of f(x)=2e^x+8/(\sqrt[3]{x)} ?
The first derivative of f(x)=2e^x+8/(\sqrt[3]{x)} is 2e^x-8/(3x^{4/3)}