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Popular >

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

Solution

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

Solution

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

Solution steps

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

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

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

Simplify

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

Graph

Popular Examples

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\frac{\partial}{\partial z} (e^{z})

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y^{^{'}} = \frac{3 y ^{2} - 9}{( 2 x y )}

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y^{''}+4y^'+20y=0,y(0)=4,y^'(0)=-7

y^{^{''}} + 4 y^{^{'}} + 20 y = 0, y (0) = 4, y^{^{'}} (0) = - 7

integral from-infinity to 0 of 6^r

\int_{- \infty}^{0} 6^{r} d r

Frequently Asked Questions (FAQ)

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