What is the derivative of y=18sqrt(x) ?

The derivative of y=18sqrt(x) is 9/(sqrt(x))

What is the first derivative of y=18sqrt(x) ?

The first derivative of y=18sqrt(x) is 9/(sqrt(x))

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derivative of

y = 18 x

\frac{9}{x}

Solution steps

\frac{d}{d x} (18 x)

Take the constant out:

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

= 18 \frac{d}{d x} (x)

Apply radical rule:

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

= 18 \frac{d}{d x} (x^{\frac{1}{2}})

Apply the Power Rule:

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

= 18 \cdot \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

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

= \frac{9}{x}

\frac{\partial}{\partial x} (- x - x^{3} sin (2 y))

\int \frac{9 t - 7}{t + 1} d t

x \to - 3 lim (\frac{x - 3}{x ^{2} - 9})

\int e^{2 x} (1 + e^{2 x})^{3} d x

\frac{d}{d w} (2 l + 2 w)

What is the derivative of y=18sqrt(x) ?
The derivative of y=18sqrt(x) is 9/(sqrt(x))
What is the first derivative of y=18sqrt(x) ?
The first derivative of y=18sqrt(x) is 9/(sqrt(x))