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Popular >

derivative of 7e^{-x}+e^{3x}

Solution

derivative of

7 e^{- x} + e^{3 x}

Solution

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

Solution steps

\frac{d}{d x} (7 e^{- x} + e^{3 x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (7 e^{- x}) + \frac{d}{d x} (e^{3 x})

\frac{d}{d x} (7 e^{- x}) = - 7 e^{- x}

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

= - 7 e^{- x} + e^{3 x} \cdot 3

Popular Examples

x^{''}+3x^'=3e^{(-3t)}

x^{^{''}} + 3 x^{^{'}} = 3 e^{(- 3 t)}

(\partial)/(\partial x)((xy)/(sqrt(xy+4)))

\frac{\partial}{\partial x} (\frac{x y}{x y + 4})

inverse oflaplace (3se^{-3s})/(4s^2+64)inverse laplace

\frac{3 s e ^{- 3 s}}{4 s ^{2} + 64}

derivative of x^{4/3}-x^{1/3}

\frac{d}{d x} (x^{\frac{4}{3}} - x^{\frac{1}{3}})

derivative of f(x)=(7-x)(5/(x^2)-8)derivative of

f (x) = (7 - x) (\frac{5}{x ^{2}} - 8)

Frequently Asked Questions (FAQ)

What is the derivative of 7e^{-x}+e^{3x} ?
The derivative of 7e^{-x}+e^{3x} is -7e^{-x}+e^{3x}*3
What is the first derivative of 7e^{-x}+e^{3x} ?
The first derivative of 7e^{-x}+e^{3x} is -7e^{-x}+e^{3x}*3