What is the derivative of 24sqrt(x) ?

The derivative of 24sqrt(x) is (12)/(sqrt(x))

What is the first derivative of 24sqrt(x) ?

The first derivative of 24sqrt(x) is (12)/(sqrt(x))

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\frac{d}{d x} (24 x)

\frac{12}{x}

Solution steps

\frac{d}{d x} (24 x)

Take the constant out:

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

= 24 \frac{d}{d x} (x)

Apply radical rule:

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

= 24 \frac{d}{d x} (x^{\frac{1}{2}})

Apply the Power Rule:

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

= 24 \cdot \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

24 \cdot \frac{1}{2} x^{\frac{1}{2} - 1} : \frac{12}{x}

= \frac{12}{x}

\frac{\partial}{\partial x} (\frac{x y}{6 x + 7 y})

\int x^{2} + 2 x - 8 d x

\int \frac{cos ( \frac{1}{x ^{2}} )}{x ^{3}} d x

\int_{0}^{9} f (x) d x

x (\frac{d y}{d x}) - (1 + x) y = x y^{2}

What is the derivative of 24sqrt(x) ?
The derivative of 24sqrt(x) is (12)/(sqrt(x))
What is the first derivative of 24sqrt(x) ?
The first derivative of 24sqrt(x) is (12)/(sqrt(x))