What is (\partial)/(\partial x)(sqrt(2x+1)) ?

The answer to (\partial)/(\partial x)(sqrt(2x+1)) is 1/(sqrt(2x+1))

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(\partial)/(\partial x)(sqrt(2x+1))

\frac{\partial}{\partial x} (2 x + 1)

\frac{1}{2 x + 1}

Solution steps

\frac{\partial}{\partial x} (2 x + 1)

Apply the chain rule:

\frac{1}{2 2 x + 1} \frac{\partial}{\partial x} (2 x + 1)

= \frac{1}{2 2 x + 1} \frac{\partial}{\partial x} (2 x + 1)

\frac{\partial}{\partial x} (2 x + 1) = 2

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

Simplify

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

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

\int (\frac{8}{x ^{3}}) d x

f (x) = 2 x^{3} - 3 x^{2} - 16 x + 3, at x = - 4

\frac{d}{d x} ((e^{x})^{s i n (x)})

y = x^{3} - 7 x^{2} + 16 x + 7

(0, - 2), (5, - 4)

What is (\partial)/(\partial x)(sqrt(2x+1)) ?
The answer to (\partial)/(\partial x)(sqrt(2x+1)) is 1/(sqrt(2x+1))