What is the derivative of y=sqrt(-7-3x) ?

The derivative of y=sqrt(-7-3x) is -3/(2sqrt(-7-3x))

What is the first derivative of y=sqrt(-7-3x) ?

The first derivative of y=sqrt(-7-3x) is -3/(2sqrt(-7-3x))

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derivative of

y = - 7 - 3 x

- \frac{3}{2 - 7 - 3 x}

Solution steps

\frac{d}{d x} (- 7 - 3 x)

Apply the chain rule:

\frac{1}{2 - 7 - 3 x} \frac{d}{d x} (- 7 - 3 x)

= \frac{1}{2 - 7 - 3 x} \frac{d}{d x} (- 7 - 3 x)

\frac{d}{d x} (- 7 - 3 x) = - 3

= \frac{1}{2 - 7 - 3 x} (- 3)

Simplify

\frac{1}{2 - 7 - 3 x} (- 3) : - \frac{3}{2 - 7 - 3 x}

= - \frac{3}{2 - 7 - 3 x}

y^{^{'}} + \frac{1}{x} y = \frac{2}{3} x^{2} y^{2}

\int sec^{6} (x) d x

x \to π + lim (cot (x))

\frac{d ^{2}}{d x ^{2}} (5 x^{\frac{3}{2}})

\frac{r}{r ^{2} + 6}

What is the derivative of y=sqrt(-7-3x) ?
The derivative of y=sqrt(-7-3x) is -3/(2sqrt(-7-3x))
What is the first derivative of y=sqrt(-7-3x) ?
The first derivative of y=sqrt(-7-3x) is -3/(2sqrt(-7-3x))