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Popular >

derivative of e^{2x}-e^{-2x}-4x

Solution

\frac{d}{d x} (e^{2 x} - e^{- 2 x} - 4 x)

Solution

2 e^{2 x} + 2 e^{- 2 x} - 4

Solution steps

\frac{d}{d x} (e^{2 x} - e^{- 2 x} - 4 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (e^{2 x}) - \frac{d}{d x} (e^{- 2 x}) - \frac{d}{d x} (4 x)

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

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

\frac{d}{d x} (4 x) = 4

= e^{2 x} \cdot 2 - (- 2 e^{- 2 x}) - 4

Simplify

= 2 e^{2 x} + 2 e^{- 2 x} - 4

Popular Examples

derivative of 3/(sqrt(x+9))derivative of

\frac{3}{x + 9}

integral from 0 to 1 of x^2\sqrt[6]{e^x}

y*y^'=(5x)/(4sqrt(x^2+1))

y \cdot y^{^{'}} = \frac{5 x}{4 x ^{2} + 1}

derivative of x/(x^2+9)derivative of

\frac{x}{x ^{2} + 9}

integral of 1/(z^3sqrt(z^2-81))

\int \frac{1}{z ^{3} z ^{2} - 81} d z

Frequently Asked Questions (FAQ)

What is the derivative of e^{2x}-e^{-2x}-4x ?
The derivative of e^{2x}-e^{-2x}-4x is 2e^{2x}+2e^{-2x}-4
What is the first derivative of e^{2x}-e^{-2x}-4x ?
The first derivative of e^{2x}-e^{-2x}-4x is 2e^{2x}+2e^{-2x}-4