What is the derivative of e^{-x}+x^3-6 ?

The derivative of e^{-x}+x^3-6 is 3x^2-e^{-x}

What is the first derivative of e^{-x}+x^3-6 ?

The first derivative of e^{-x}+x^3-6 is 3x^2-e^{-x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (e^{- x} + x^{3} - 6)

3 x^{2} - e^{- x}

Solution steps

\frac{d}{d x} (e^{- x} + x^{3} - 6)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (e^{- x}) + \frac{d}{d x} (x^{3}) - \frac{d}{d x} (6)

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

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

\frac{d}{d x} (6) = 0

= - e^{- x} + 3 x^{2} - 0

Simplify

= 3 x^{2} - e^{- x}

\int 2 \cdot x d x

x \to 0 lim (\frac{sin ( 4 x )}{4})

y = \frac{2}{x - 2}

\int \frac{1 - 2 x}{e ^{- 2 x}} d x

\int (\frac{1}{2} + \frac{1}{x}) d x

What is the derivative of e^{-x}+x^3-6 ?
The derivative of e^{-x}+x^3-6 is 3x^2-e^{-x}
What is the first derivative of e^{-x}+x^3-6 ?
The first derivative of e^{-x}+x^3-6 is 3x^2-e^{-x}