What is the derivative of u^{1/2} ?

The derivative of u^{1/2} is 1/(2u^{1/2)}

What is the first derivative of u^{1/2} ?

The first derivative of u^{1/2} is 1/(2u^{1/2)}

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derivative of

u^{\frac{1}{2}}

\frac{1}{2 u ^{\frac{1}{2}}}

Solution steps

\frac{d}{d u} (u^{\frac{1}{2}})

Apply the Power Rule:

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

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

Simplify

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

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

\int_{0}^{4} 3 e^{- 2 x} d x

\frac{\partial}{\partial x} (x^{1} x^{2} + 10 x^{1})

y^{3} - (18 x + 8) + 3 x y^{2} (\frac{d y}{d x}) = 0

x \to 1 lim (6)

\int \frac{1}{x} - \frac{1}{x ^{2}} d x

What is the derivative of u^{1/2} ?
The derivative of u^{1/2} is 1/(2u^{1/2)}
What is the first derivative of u^{1/2} ?
The first derivative of u^{1/2} is 1/(2u^{1/2)}