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

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

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

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

\frac{1}{2 x + 1}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

\int_{1}^{4} y ln (y) d y

n = 0 \sum \infty (\frac{e}{2})^{n}

\int x ln (x + 3) d x

\int_{1}^{e} 8 t^{2} ln (t) d t

f (x) = x^{2} + 6 x - 1

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