en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of x^e+1/(x^{sqrt(10)})

Solution

\frac{d}{d x} (x^{e} + \frac{1}{x ^{10}})

Solution

e x^{e - 1} - 10 x^{- 10 - 1}

Solution steps

\frac{d}{d x} (x^{e} + \frac{1}{x ^{10}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{e}) + \frac{d}{d x} (\frac{1}{x ^{10}})

\frac{d}{d x} (x^{e}) = e x^{e - 1}

\frac{d}{d x} (\frac{1}{x ^{10}}) = - 10 x^{- 10 - 1}

= e x^{e - 1} - 10 x^{- 10 - 1}

Popular Examples

derivative of-x/(8y)derivative of

- \frac{x}{8 y}

(d^2)/(dx^2)((4x^2+8x)cos(x))

\frac{d ^{2}}{d x ^{2}} ((4 x^{2} + 8 x) cos (x))

inverse oflaplace a/(s^2+a^2)inverse laplace

\frac{a}{s ^{2} + a ^{2}}

(x^2)/(y^2-2)(dy)/(dx)= 1/(2y)

\frac{x ^{2}}{y ^{2} - 2} \frac{d y}{d x} = \frac{1}{2 y}

integral from-10 to 10 of (x^2+x)

\int_{- 10}^{10} (x^{2} + x) d x

Frequently Asked Questions (FAQ)

What is the derivative of x^e+1/(x^{sqrt(10)}) ?
The derivative of x^e+1/(x^{sqrt(10)}) is ex^{e-1}-sqrt(10)x^{-sqrt(10)-1}
What is the first derivative of x^e+1/(x^{sqrt(10)}) ?
The first derivative of x^e+1/(x^{sqrt(10)}) is ex^{e-1}-sqrt(10)x^{-sqrt(10)-1}