What is the derivative of sqrt(1-5x) ?

The derivative of sqrt(1-5x) is -5/(2sqrt(1-5x))

What is the first derivative of sqrt(1-5x) ?

The first derivative of sqrt(1-5x) is -5/(2sqrt(1-5x))

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\frac{d}{d x} (1 - 5 x)

- \frac{5}{2 1 - 5 x}

Solution steps

\frac{d}{d x} (1 - 5 x)

Apply the chain rule:

\frac{1}{2 1 - 5 x} \frac{d}{d x} (1 - 5 x)

= \frac{1}{2 1 - 5 x} \frac{d}{d x} (1 - 5 x)

\frac{d}{d x} (1 - 5 x) = - 5

= \frac{1}{2 1 - 5 x} (- 5)

Simplify

\frac{1}{2 1 - 5 x} (- 5) : - \frac{5}{2 1 - 5 x}

= - \frac{5}{2 1 - 5 x}

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

\frac{d y}{d x} = \frac{1}{x ( ln ( 2 ) )}

f (x) = (\frac{b}{a + z ^{2}})^{7}

\int \frac{( 2 x + 3 )}{x + 2} d x

n = 1 \sum \infty \frac{5 n}{2 n + 5}

What is the derivative of sqrt(1-5x) ?
The derivative of sqrt(1-5x) is -5/(2sqrt(1-5x))
What is the first derivative of sqrt(1-5x) ?
The first derivative of sqrt(1-5x) is -5/(2sqrt(1-5x))