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Popular >

derivative of-3e^{-3x}+e^{4x}*4

Solution

derivative of

- 3 e^{- 3 x} + e^{4 x} \cdot 4

Solution

9 e^{- 3 x} + 16 e^{4 x}

Solution steps

\frac{d}{d x} (- 3 e^{- 3 x} + e^{4 x} \cdot 4)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (3 e^{- 3 x}) + \frac{d}{d x} (e^{4 x} \cdot 4)

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

\frac{d}{d x} (e^{4 x} \cdot 4) = 16 e^{4 x}

= - (- 9 e^{- 3 x}) + 16 e^{4 x}

Simplify

= 9 e^{- 3 x} + 16 e^{4 x}

Popular Examples

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\int y^{2} e^{3 y} d y

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n = 0 \sum \infty \frac{1}{n + 7}

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\int_{0}^{9} \frac{8}{( x - 1 ) ^{\frac{1}{3}}} d x

(\partial)/(\partial x)(9x*cos(x)*cos(y))

\frac{\partial}{\partial x} (9 x \cdot cos (x) \cdot cos (y))

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Frequently Asked Questions (FAQ)

What is the derivative of-3e^{-3x}+e^{4x}*4 ?
The derivative of-3e^{-3x}+e^{4x}*4 is 9e^{-3x}+16e^{4x}
What is the first derivative of-3e^{-3x}+e^{4x}*4 ?
The first derivative of-3e^{-3x}+e^{4x}*4 is 9e^{-3x}+16e^{4x}