What is the derivative of 30sqrt(x) ?

The derivative of 30sqrt(x) is (15)/(sqrt(x))

What is the first derivative of 30sqrt(x) ?

The first derivative of 30sqrt(x) is (15)/(sqrt(x))

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\frac{d}{d x} (30 x)

\frac{15}{x}

Solution steps

\frac{d}{d x} (30 x)

Take the constant out:

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

= 30 \frac{d}{d x} (x)

Apply radical rule:

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

= 30 \frac{d}{d x} (x^{\frac{1}{2}})

Apply the Power Rule:

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

= 30 \cdot \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

30 \cdot \frac{1}{2} x^{\frac{1}{2} - 1} : \frac{15}{x}

= \frac{15}{x}

\int (x^{3} + 3 x + 8) e^{x} d x

x \to - \infty lim (x^{6} e^{x})

\frac{d}{d x} (ln (e^{- x}))

\frac{1}{s + 1}

\int \frac{y - 2}{y ( y - 4 ) ( y + 3 )} d y

What is the derivative of 30sqrt(x) ?
The derivative of 30sqrt(x) is (15)/(sqrt(x))
What is the first derivative of 30sqrt(x) ?
The first derivative of 30sqrt(x) is (15)/(sqrt(x))