en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

derivative of

3 e^{x} + \frac{2}{3 x}

Solution

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

Solution steps

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

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

\frac{d}{d x} (\frac{2}{3 x}) = - \frac{2}{3 x ^{\frac{4}{3}}}

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

Graph

Popular Examples

(\partial)/(\partial y)(x+2y-1)

\frac{\partial}{\partial y} (x + 2 y - 1)

integral from 0 to 4 of 1/(sqrt(16+x^2))

\int_{0}^{4} \frac{1}{16 + x ^{2}} d x

integral from 0 to 1 of e^{-0.2t}

\int_{0}^{1} e^{- 0.2 t} d t

derivative of 2cos(2x-2sin(2x))

\frac{d}{d x} (2 cos (2 x) - 2 sin (2 x))

integral from 0 to 1 of (x^5)/(x^6-1)

\int_{0}^{1} \frac{x ^{5}}{x ^{6} - 1} d x

Frequently Asked Questions (FAQ)

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