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Popular >

derivative of sqrt(e^{2x)+1}

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Graph

Popular Examples

tangent of f(x)= 3/(x+1),\at x=7 tangent of

f (x) = \frac{3}{x + 1}, at x = 7

2y^{''}+8y^'+80y=60cos(8t)

2 y^{^{''}} + 8 y^{^{'}} + 80 y = 60 cos (8 t)

(\partial)/(\partial x)(e^{x+y})

\frac{\partial}{\partial x} (e^{x + y})

sum from n=0 to infinity of (x)^n

n = 0 \sum \infty (x)^{n}

integral of 1/(t^4+16)

\int \frac{1}{t ^{4} + 16} d t

Frequently Asked Questions (FAQ)

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