What is the derivative of sqrt(1-3x) ?

The derivative of sqrt(1-3x) is -3/(2sqrt(1-3x))

What is the first derivative of sqrt(1-3x) ?

The first derivative of sqrt(1-3x) is -3/(2sqrt(1-3x))

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\frac{d}{d x} (1 - 3 x)

- \frac{3}{2 1 - 3 x}

Solution steps

\frac{d}{d x} (1 - 3 x)

Apply the chain rule:

\frac{1}{2 1 - 3 x} \frac{d}{d x} (1 - 3 x)

= \frac{1}{2 1 - 3 x} \frac{d}{d x} (1 - 3 x)

\frac{d}{d x} (1 - 3 x) = - 3

= \frac{1}{2 1 - 3 x} (- 3)

Simplify

\frac{1}{2 1 - 3 x} (- 3) : - \frac{3}{2 1 - 3 x}

= - \frac{3}{2 1 - 3 x}

\frac{d}{d x} (x^{3} + 3 x^{2} - 9 x + 1)

\frac{d}{d x} (e^{8 - x})

\int \frac{1}{x ^{2} + 6 x + 45} d x

\frac{d}{d x} (\frac{1}{( 5 + x ) ^{2}})

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

What is the derivative of sqrt(1-3x) ?
The derivative of sqrt(1-3x) is -3/(2sqrt(1-3x))
What is the first derivative of sqrt(1-3x) ?
The first derivative of sqrt(1-3x) is -3/(2sqrt(1-3x))