What is the derivative of 9x^{1/2} ?

The derivative of 9x^{1/2} is 9/(2x^{1/2)}

What is the first derivative of 9x^{1/2} ?

The first derivative of 9x^{1/2} is 9/(2x^{1/2)}

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derivative of

9 x^{\frac{1}{2}}

\frac{9}{2 x ^{\frac{1}{2}}}

Solution steps

\frac{d}{d x} (9 x^{\frac{1}{2}})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 9 \frac{d}{d x} (x^{\frac{1}{2}})

Apply the Power Rule:

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

= 9 \cdot \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

9 \cdot \frac{1}{2} x^{\frac{1}{2} - 1} : \frac{9}{2 x ^{\frac{1}{2}}}

= \frac{9}{2 x ^{\frac{1}{2}}}

x \to 0 lim (\frac{( sin ( 3 x ) )}{x})

x^{2} y^{^{''}} - 5 x y^{^{'}} + 9 y = 0

x \to 2 lim (x^{2} - 7 x + 5)

\int_{0}^{1} x e^{- 8 x^{2}} d x

\frac{d y}{d x} + 9 y = 3

What is the derivative of 9x^{1/2} ?
The derivative of 9x^{1/2} is 9/(2x^{1/2)}
What is the first derivative of 9x^{1/2} ?
The first derivative of 9x^{1/2} is 9/(2x^{1/2)}