What is the derivative of-2sqrt(9s^2+1) ?

The derivative of-2sqrt(9s^2+1) is -(18s)/(sqrt(9s^2+1))

What is the first derivative of-2sqrt(9s^2+1) ?

The first derivative of-2sqrt(9s^2+1) is -(18s)/(sqrt(9s^2+1))

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derivative of

- 2 9 s^{2} + 1

- \frac{18 s}{9 s ^{2} + 1}

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= - 2 \frac{d}{d s} (9 s^{2} + 1)

Apply the chain rule:

\frac{1}{2 9 s ^{2} + 1} \frac{d}{d s} (9 s^{2} + 1)

= \frac{1}{2 9 s ^{2} + 1} \frac{d}{d s} (9 s^{2} + 1)

\frac{d}{d s} (9 s^{2} + 1) = 18 s

= - 2 \cdot \frac{1}{2 9 s ^{2} + 1} \cdot 18 s

Simplify

- 2 \cdot \frac{1}{2 9 s ^{2} + 1} \cdot 18 s : - \frac{18 s}{9 s ^{2} + 1}

= - \frac{18 s}{9 s ^{2} + 1}

x \to 2 - lim (f (x))

\frac{d}{d x} ((x^{2} 7^{x})^{9})

\frac{d}{d x} (e^{x^{2} + x})

\int sin (5 x) cos (5 x) d x

\int 2 \frac{1}{x} d x

What is the derivative of-2sqrt(9s^2+1) ?
The derivative of-2sqrt(9s^2+1) is -(18s)/(sqrt(9s^2+1))
What is the first derivative of-2sqrt(9s^2+1) ?
The first derivative of-2sqrt(9s^2+1) is -(18s)/(sqrt(9s^2+1))