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

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

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

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

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derivative of

f (x) = 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}

\int \frac{11}{x ^{3} - 125} d x

d er i v a t i v e y = ln (6 - 7 x)

\frac{d}{d x} (cos^{2} (7 x))

(y + 4) y^{^{'}} = y (2 x + 4)

l o n g d i v i s i o n \frac{3 x - 1}{2 x + 1}

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