What is the derivative of 8sqrt(9x^2+5) ?

The derivative of 8sqrt(9x^2+5) is (72x)/(sqrt(9x^2+5))

What is the first derivative of 8sqrt(9x^2+5) ?

The first derivative of 8sqrt(9x^2+5) is (72x)/(sqrt(9x^2+5))

Popular >

derivative of

8 9 x^{2} + 5

\frac{72 x}{9 x ^{2} + 5}

Solution steps

\frac{d}{d x} (8 9 x^{2} + 5)

Take the constant out:

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

= 8 \frac{d}{d x} (9 x^{2} + 5)

Apply the chain rule:

\frac{1}{2 9 x ^{2} + 5} \frac{d}{d x} (9 x^{2} + 5)

= \frac{1}{2 9 x ^{2} + 5} \frac{d}{d x} (9 x^{2} + 5)

\frac{d}{d x} (9 x^{2} + 5) = 18 x

= 8 \cdot \frac{1}{2 9 x ^{2} + 5} \cdot 18 x

Simplify

8 \cdot \frac{1}{2 9 x ^{2} + 5} \cdot 18 x : \frac{72 x}{9 x ^{2} + 5}

= \frac{72 x}{9 x ^{2} + 5}

\frac{\partial}{\partial y} (9 - x^{2} - 3 y)

\frac{\partial}{\partial x} (2 sin (6 x) cos (4 y))

y = \frac{x}{5} - 4

\frac{d}{d x} (\frac{4}{x ^{4}} - 4 5 x)

\int x^{2} x^{3} + 27 d x

What is the derivative of 8sqrt(9x^2+5) ?
The derivative of 8sqrt(9x^2+5) is (72x)/(sqrt(9x^2+5))
What is the first derivative of 8sqrt(9x^2+5) ?
The first derivative of 8sqrt(9x^2+5) is (72x)/(sqrt(9x^2+5))