What is the derivative of x^{-6}+e^{2x} ?

The derivative of x^{-6}+e^{2x} is -6/(x^7)+e^{2x}*2

What is the first derivative of x^{-6}+e^{2x} ?

The first derivative of x^{-6}+e^{2x} is -6/(x^7)+e^{2x}*2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

x^{- 6} + e^{2 x}

- \frac{6}{x ^{7}} + e^{2 x} \cdot 2

Solution steps

\frac{d}{d x} (x^{- 6} + e^{2 x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{- 6}) + \frac{d}{d x} (e^{2 x})

\frac{d}{d x} (x^{- 6}) = - \frac{6}{x ^{7}}

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

= - \frac{6}{x ^{7}} + e^{2 x} \cdot 2

\frac{d y}{d x} + 2 x y = x

\int \frac{1}{24} x^{2} d x

\frac{\partial}{\partial x} (- x + 6 y)

\frac{d}{d x} (ln (5 + ln (x)))

x \to \infty lim (5 e^{x})

What is the derivative of x^{-6}+e^{2x} ?
The derivative of x^{-6}+e^{2x} is -6/(x^7)+e^{2x}*2
What is the first derivative of x^{-6}+e^{2x} ?
The first derivative of x^{-6}+e^{2x} is -6/(x^7)+e^{2x}*2