What is the derivative of sqrt(15x) ?

The derivative of sqrt(15x) is (sqrt(15))/(2sqrt(x))

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

The first derivative of sqrt(15x) is (sqrt(15))/(2sqrt(x))

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derivative of

15 x

\frac{15}{2 x}

Solution steps

\frac{d}{d x} (15 x)

Apply the chain rule:

\frac{1}{2 15 x} \frac{d}{d x} (15 x)

= \frac{1}{2 15 x} \frac{d}{d x} (15 x)

\frac{d}{d x} (15 x) = 15

= \frac{1}{2 15 x} \cdot 15

Simplify

\frac{1}{2 15 x} \cdot 15 : \frac{15}{2 x}

= \frac{15}{2 x}

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

5 x^{2} 25 - x^{2}

\int_{0}^{5} (5 + 3 x)^{- 1} d x

x \to 9 - lim (\frac{x - 9}{x - 9})

x \to + 0 lim (x^{2} (1 + ln (x)))

What is the derivative of sqrt(15x) ?
The derivative of sqrt(15x) is (sqrt(15))/(2sqrt(x))
What is the first derivative of sqrt(15x) ?
The first derivative of sqrt(15x) is (sqrt(15))/(2sqrt(x))