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Popular >

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

Solution

\frac{d}{d x} (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 sqrt(1+e^{2t)}

\int 1 + e^{2 t} d t

integral from 0 to 1 of pi(sqrt(x))^2

\int_{0}^{1} π (x)^{2} d x

derivative of (x^2+1/(x^2)^5)

\frac{d}{d x} ((x^{2} + \frac{1}{x ^{2}})^{5})

tangent of f(x)=3e^x+x,\at x=0 tangent of

f (x) = 3 e^{x} + x, at x = 0

derivative of y= 1/x+1/(x^2)+1/(x^3)derivative of

y = \frac{1}{x} + \frac{1}{x ^{2}} + \frac{1}{x ^{3}}

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)}