What is the derivative of sqrt(cx) ?

The derivative of sqrt(cx) is (sqrt(c))/(2sqrt(x))

What is the first derivative of sqrt(cx) ?

The first derivative of sqrt(cx) is (sqrt(c))/(2sqrt(x))

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

\frac{c}{2 x}

Solution steps

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

Apply the chain rule:

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

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

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

= \frac{1}{2 c x} c

Simplify

\frac{1}{2 c x} c : \frac{c}{2 x}

= \frac{c}{2 x}

\int \frac{2}{x ^{3} + 3 x ^{2} + 2 x} d x

\int \frac{1}{a ^{2} u ^{2}} d u

f (x) = x^{2} - 4, (- 3, 5)

\frac{d y}{d t} = 1.5 y, y (0) = 100

\int_{0}^{\infty} t e^{- b t} d t

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