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Popular Calculus >

derivative of y=sqrt(e^2+2x)

Solution

derivative of

y = e^{2} + 2 x

Solution

\frac{1}{e ^{2} + 2 x}

Solution steps

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

Apply the chain rule:

\frac{1}{2 e ^{2} + 2 x} \frac{d}{d x} (e^{2} + 2 x)

= \frac{1}{2 e ^{2} + 2 x} \frac{d}{d x} (e^{2} + 2 x)

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

= \frac{1}{2 e ^{2} + 2 x} \cdot 2

Simplify

\frac{1}{2 e ^{2} + 2 x} \cdot 2 : \frac{1}{e ^{2} + 2 x}

= \frac{1}{e ^{2} + 2 x}

Graph

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

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\int_{6}^{8} \frac{100}{( x - 6 ) ^{3}} d x

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\frac{d}{d x} (\frac{5}{( x + 1 ) ^{2}})

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\frac{d}{d x} ((2 x - 3)^{l n (x)})

derivative of x^3y-2x^2+y^4

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Frequently Asked Questions (FAQ)

What is the derivative of y=sqrt(e^2+2x) ?
The derivative of y=sqrt(e^2+2x) is 1/(sqrt(e^2+2x))
What is the first derivative of y=sqrt(e^2+2x) ?
The first derivative of y=sqrt(e^2+2x) is 1/(sqrt(e^2+2x))