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+e^{-x}-2

Solution

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

Solution

e^{x} - e^{- x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

= e^{x} - e^{- x} - 0

Simplify

= e^{x} - e^{- x}

Popular Examples

integral from 0 to 2 of (2t)/((t-3)^2)

\int_{0}^{2} \frac{2 t}{( t - 3 ) ^{2}} d t

(\partial)/(\partial x)((9x-2y)/(9x+2y))

\frac{\partial}{\partial x} (\frac{9 x - 2 y}{9 x + 2 y})

derivative of f(x)=(x^{1/3}-4)/(x^{7/2)}derivative of

f (x) = \frac{x ^{\frac{1}{3}} - 4}{x ^{\frac{7}{2}}}

derivative of c*sin((pix)/L)derivative of

c \cdot sin (\frac{π x}{L})

derivative of (sqrt(3))/4 s^2 derivative of

\frac{3}{4} s^{2}

Frequently Asked Questions (FAQ)

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