What is the derivative of sqrt(ax) ?

The derivative of sqrt(ax) is (sqrt(a))/(2sqrt(x))

What is the first derivative of sqrt(ax) ?

The first derivative of sqrt(ax) is (sqrt(a))/(2sqrt(x))

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\frac{d}{d x} (a x)

\frac{a}{2 x}

Solution steps

\frac{d}{d x} (a x)

Apply the chain rule:

\frac{1}{2 a x} \frac{d}{d x} (a x)

= \frac{1}{2 a x} \frac{d}{d x} (a x)

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

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

Simplify

\frac{1}{2 a x} a : \frac{a}{2 x}

= \frac{a}{2 x}

n = 1 \sum \infty n sin (nπ)

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

\frac{\partial}{\partial x} (3 x^{2} - y^{3} + x - 1)

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

\int sin (\frac{1}{3}) x d x

What is the derivative of sqrt(ax) ?
The derivative of sqrt(ax) is (sqrt(a))/(2sqrt(x))
What is the first derivative of sqrt(ax) ?
The first derivative of sqrt(ax) is (sqrt(a))/(2sqrt(x))