en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of e^{x+1}-3e^x+2e^{x^3}

Solution

\frac{d}{d x} (e^{x + 1} - 3 e^{x} + 2 e^{x^{3}})

Solution

e^{x + 1} - 3 e^{x} + 6 e^{x^{3}} x^{2}

Solution steps

\frac{d}{d x} (e^{x + 1} - 3 e^{x} + 2 e^{x^{3}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (e^{x + 1}) - \frac{d}{d x} (3 e^{x}) + \frac{d}{d x} (2 e^{x^{3}})

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

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

\frac{d}{d x} (2 e^{x^{3}}) = 6 e^{x^{3}} x^{2}

= e^{x + 1} - 3 e^{x} + 6 e^{x^{3}} x^{2}

Graph

Popular Examples

t^2y^{''}+6ty^'+6y=0

t^{2} y^{^{''}} + 6 t y^{^{'}} + 6 y = 0

2xy^2+4=2(3-x^2y)y^'

2 x y^{2} + 4 = 2 (3 - x^{2} y) y^{^{'}}

integral of 1/4 cos(2x)

\int \frac{1}{4} cos (2 x) d x

integral of x^5ln|x|

\int x^{5} ln ∣ x ∣ d x

(\partial)/(\partial y)(sqrt(1+x^2+y^2))

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

Frequently Asked Questions (FAQ)

What is the derivative of e^{x+1}-3e^x+2e^{x^3} ?
The derivative of e^{x+1}-3e^x+2e^{x^3} is e^{x+1}-3e^x+6e^{x^3}x^2
What is the first derivative of e^{x+1}-3e^x+2e^{x^3} ?
The first derivative of e^{x+1}-3e^x+2e^{x^3} is e^{x+1}-3e^x+6e^{x^3}x^2