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

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

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

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

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derivative of

y^{\frac{1}{2}}

\frac{1}{2 y ^{\frac{1}{2}}}

Solution steps

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

Apply the Power Rule:

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

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

Simplify

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

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

x \to 7 - lim (49 - x^{2})

f (n) = 2^{n}

f (x) = 4 sin^{5} (x)

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

\frac{d}{d x} (arctan (\frac{40}{x}))

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