What is the derivative of sqrt(x) ?

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

What is the first derivative of sqrt(x) ?

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

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derivative of

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}

\frac{d y}{d t} = 2 y - 3 e^{- t}

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

x \to 0 - lim (- 2 x^{2} + 7 x)

y = x^{4} + 6 x^{2} - x, (1, 6)

\frac{\partial}{\partial y} (y^{x} - ln (x^{4} y + 7 x))

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