en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of cos^2(y-sin^2(x))

Solution

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

Solution

- 2 cos (y) sin (y) \frac{d y}{d x} - sin (2 x)

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (cos^{2} (y)) - \frac{d}{d x} (sin^{2} (x))

\frac{d}{d x} (cos^{2} (y)) = - 2 cos (y) sin (y) \frac{d y}{d x}

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

= - 2 cos (y) sin (y) \frac{d y}{d x} - sin (2 x)

Popular Examples

derivative of f(x)=(6x^2+7x)^4 derivative of

f (x) = (6 x^{2} + 7 x)^{4}

derivative of y=(3x*5+2)/x derivative of

y = \frac{3 x \cdot 5 + 2}{x}

derivative of y=(x^3+3)^4 derivative of

y = (x^{3} + 3)^{4}

derivative of 3x^5+2x^3+5x derivative of

3 x^{5} + 2 x^{3} + 5 x

derivative of 3/((r-2)^2)derivative of

\frac{3}{( r - 2 ) ^{2}}

Frequently Asked Questions (FAQ)

What is the derivative of cos^2(y-sin^2(x)) ?
The derivative of cos^2(y-sin^2(x)) is -2cos(y)sin(y)(dy)/(dx)-sin(2x)
What is the first derivative of cos^2(y-sin^2(x)) ?
The first derivative of cos^2(y-sin^2(x)) is -2cos(y)sin(y)(dy)/(dx)-sin(2x)