What is the derivative of sqrt(9x-(sin^2(2x))) ?

The derivative of sqrt(9x-(sin^2(2x))) is (9-2sin(4x))/(2sqrt(9x-sin^2(2x)))

What is the first derivative of sqrt(9x-(sin^2(2x))) ?

The first derivative of sqrt(9x-(sin^2(2x))) is (9-2sin(4x))/(2sqrt(9x-sin^2(2x)))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

9 x - (sin^{2} (2 x))

\frac{9 - 2 sin ( 4 x )}{2 9 x - sin ^{2} ( 2 x )}

Solution steps

\frac{d}{d x} (9 x - sin^{2} (2 x))

Apply the chain rule:

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

= \frac{1}{2 9 x - sin ^{2} ( 2 x )} \frac{d}{d x} (9 x - sin^{2} (2 x))

\frac{d}{d x} (9 x - sin^{2} (2 x)) = 9 - 2 sin (4 x)

= \frac{1}{2 9 x - sin ^{2} ( 2 x )} (9 - 2 sin (4 x))

Simplify

\frac{1}{2 9 x - sin ^{2} ( 2 x )} (9 - 2 sin (4 x)) : \frac{9 - 2 sin ( 4 x )}{2 9 x - sin ^{2} ( 2 x )}

= \frac{9 - 2 sin ( 4 x )}{2 9 x - sin ^{2} ( 2 x )}

\frac{\partial}{\partial x} (x sin (y))

x^{2}, 8 - x^{2}, 4 x + 12

7^{x^{2} - x}

\int_{0}^{\frac{π}{2}} cos^{4} (2 x) d x

x \frac{d y}{d x} - y = 2 x^{2} y^{2}

What is the derivative of sqrt(9x-(sin^2(2x))) ?
The derivative of sqrt(9x-(sin^2(2x))) is (9-2sin(4x))/(2sqrt(9x-sin^2(2x)))
What is the first derivative of sqrt(9x-(sin^2(2x))) ?
The first derivative of sqrt(9x-(sin^2(2x))) is (9-2sin(4x))/(2sqrt(9x-sin^2(2x)))