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

\frac{d}{d x} (e^{3 x - 1})

f (x) = \frac{1 - x}{2 x}, at x = 1

\frac{d}{d x} (\frac{1}{6} (x^{2} - 4)^{\frac{3}{2}})

\int \frac{5 - 50 x}{49 - 25 x ^{2}} d 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))