en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of e^{-3x}+e^{2x}

Solution

derivative of

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

Solution

- 3 e^{- 3 x} + e^{2 x} \cdot 2

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= - 3 e^{- 3 x} + e^{2 x} \cdot 2

Graph

Popular Examples

integral of (8-128x)/(sqrt(49-64x^2))

\int \frac{8 - 128 x}{49 - 64 x ^{2}} d x

(\partial)/(\partial x)(3x^3+4x^2y-3y^3)

\frac{\partial}{\partial x} (3 x^{3} + 4 x^{2} y - 3 y^{3})

limit as x approaches 0 of (\sqrt[3]{8+x}-\sqrt[3]{8})/x

x \to 0 lim (\frac{3 8 + x - 3 8}{x})

integral of (x+5)/(x^2+10x+26)

\int \frac{x + 5}{x ^{2} + 10 x + 26} d x

(dy)/(dt)=3t^2cos(t^3)

\frac{d y}{d t} = 3 t^{2} cos (t^{3})

Frequently Asked Questions (FAQ)

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