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Popular >

derivative of y=sqrt(-3x-5)

Solution

derivative of

y = - 3 x - 5

Solution

- \frac{3}{2 - 3 x - 5}

Solution steps

\frac{d}{d x} (- 3 x - 5)

Apply the chain rule:

\frac{1}{2 - 3 x - 5} \frac{d}{d x} (- 3 x - 5)

= \frac{1}{2 - 3 x - 5} \frac{d}{d x} (- 3 x - 5)

\frac{d}{d x} (- 3 x - 5) = - 3

= \frac{1}{2 - 3 x - 5} (- 3)

Simplify

\frac{1}{2 - 3 x - 5} (- 3) : - \frac{3}{2 - 3 x - 5}

= - \frac{3}{2 - 3 x - 5}

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Frequently Asked Questions (FAQ)

What is the derivative of y=sqrt(-3x-5) ?
The derivative of y=sqrt(-3x-5) is -3/(2sqrt(-3x-5))
What is the first derivative of y=sqrt(-3x-5) ?
The first derivative of y=sqrt(-3x-5) is -3/(2sqrt(-3x-5))