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Popular >

derivative of x^{sqrt(2)e^{-42}}

Solution

derivative of

x^{2 e^{- 42}}

Solution

\frac{2 x ^{\frac{2 - e ^{42}}{e ^{42}}}}{e ^{42}}

Solution steps

\frac{d}{d x} (x^{2 e^{- 42}})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 2 e^{- 42} x^{2 e^{- 42} - 1}

Simplify

2 e^{- 42} x^{2 e^{- 42} - 1} : \frac{2 x ^{\frac{2 - e ^{42}}{e ^{42}}}}{e ^{42}}

= \frac{2 x ^{\frac{2 - e ^{42}}{e ^{42}}}}{e ^{42}}

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Frequently Asked Questions (FAQ)

What is the derivative of x^{sqrt(2)e^{-42}} ?
The derivative of x^{sqrt(2)e^{-42}} is (sqrt(2)x^{\frac{sqrt(2)-e^{42})/(e^{42)}}}{e^{42}}
What is the first derivative of x^{sqrt(2)e^{-42}} ?
The first derivative of x^{sqrt(2)e^{-42}} is (sqrt(2)x^{\frac{sqrt(2)-e^{42})/(e^{42)}}}{e^{42}}