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Popular >

derivative of 1/(2e^2e^{2x})

Solution

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

Solution

e^{2 x - 2}

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

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

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

\frac{d}{d x} (2 x) = 2

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

Simplify

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

= e^{2 x - 2}

Popular Examples

integral of (sqrt((u^2)^{22)})/(1+(u^2)^{22)}u^2)^2

\int \frac{( u ^{2} ) ^{22}}{1 + ( u ^{2} ) ^{22}} d (u^{2})^{2}

x^6+y^5sqrt(x^7+3)y^'=0,y(0)=0

x^{6} + y^{5} x^{7} + 3 y^{^{'}} = 0, y (0) = 0

(dx)/(dy)=2x-5x+1

\frac{d x}{d y} = 2 x - 5 x + 1

integral from 0 to infinity of 2e^{-x}

\int_{0}^{\infty} 2 e^{- x} d x

y^'= y/2+4e^{t/2}

y^{^{'}} = \frac{y}{2} + 4 e^{\frac{t}{2}}

Frequently Asked Questions (FAQ)

What is the derivative of 1/(2e^2e^{2x}) ?
The derivative of 1/(2e^2e^{2x}) is e^{2x-2}
What is the first derivative of 1/(2e^2e^{2x}) ?
The first derivative of 1/(2e^2e^{2x}) is e^{2x-2}