What is the derivative of h(x)=sqrt(x) ?

The derivative of h(x)=sqrt(x) is 1/(2sqrt(x))

What is the first derivative of h(x)=sqrt(x) ?

The first derivative of h(x)=sqrt(x) is 1/(2sqrt(x))

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derivative of

h (x) = x

\frac{1}{2 x}

Solution steps

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

Apply radical rule:

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

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

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

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

= \frac{1}{2 x}

\int x^{n} \cdot ln (x) d x

2 x^{3} + 36 x^{2} + 210 x + 4

\frac{\partial}{\partial x} (\frac{yz}{x})

\int sin (2 x) sin (2 x) d x

\int 9 - (x - 4)^{2} d x

What is the derivative of h(x)=sqrt(x) ?
The derivative of h(x)=sqrt(x) is 1/(2sqrt(x))
What is the first derivative of h(x)=sqrt(x) ?
The first derivative of h(x)=sqrt(x) is 1/(2sqrt(x))