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Popular >

derivative of x^{9/4}+e^{-2x}

Solution

\frac{d}{d x} (x^{\frac{9}{4}} + e^{- 2 x})

Solution

\frac{9 x ^{\frac{5}{4}}}{4} - 2 e^{- 2 x}

Solution steps

\frac{d}{d x} (x^{\frac{9}{4}} + e^{- 2 x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{\frac{9}{4}}) + \frac{d}{d x} (e^{- 2 x})

\frac{d}{d x} (x^{\frac{9}{4}}) = \frac{9 x ^{\frac{5}{4}}}{4}

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

= \frac{9 x ^{\frac{5}{4}}}{4} - 2 e^{- 2 x}

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Frequently Asked Questions (FAQ)

What is the derivative of x^{9/4}+e^{-2x} ?
The derivative of x^{9/4}+e^{-2x} is (9x^{5/4})/4-2e^{-2x}
What is the first derivative of x^{9/4}+e^{-2x} ?
The first derivative of x^{9/4}+e^{-2x} is (9x^{5/4})/4-2e^{-2x}