en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

\frac{9 e ^{- \frac{3}{x}}}{x ^{2}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (2) = 0

\frac{d}{d x} (3 e^{- \frac{3}{x}}) = \frac{9 e ^{- \frac{3}{x}}}{x ^{2}}

= 0 + \frac{9 e ^{- \frac{3}{x}}}{x ^{2}}

Simplify

= \frac{9 e ^{- \frac{3}{x}}}{x ^{2}}

Popular Examples

derivative of (x^4+3x^2-5^4)

\frac{d}{d x} ((x^{4} + 3 x^{2} - 5)^{4})

derivative of 3xe^{5x}

\frac{d}{d x} (3 x e^{5 x})

derivative of 5^{-1/x}

\frac{d}{d x} (5^{- \frac{1}{x}})

derivative of sqrt(3x+1)derivative of

3 x + 1

derivative of 6x^2+5x^3y^4-10y^5

\frac{d}{d x} (6 x^{2} + 5 x^{3} y^{4} - 10 y^{5})

Frequently Asked Questions (FAQ)

What is the derivative of 2+3e^{-3/x} ?
The derivative of 2+3e^{-3/x} is (9e^{-3/x})/(x^2)
What is the first derivative of 2+3e^{-3/x} ?
The first derivative of 2+3e^{-3/x} is (9e^{-3/x})/(x^2)