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

The derivative of cos(x^2)-2x^2sin(x^2) is -6xsin(x^2)-4x^3cos(x^2)

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

The first derivative of cos(x^2)-2x^2sin(x^2) is -6xsin(x^2)-4x^3cos(x^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

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

- 6 x sin (x^{2}) - 4 x^{3} cos (x^{2})

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (2 x^{2} sin (x^{2})) = 2 (2 x sin (x^{2}) + 2 x^{3} cos (x^{2}))

= - sin (x^{2}) \cdot 2 x - 2 (2 x sin (x^{2}) + 2 x^{3} cos (x^{2}))

Simplify

- sin (x^{2}) \cdot 2 x - 2 (2 x sin (x^{2}) + 2 x^{3} cos (x^{2})) : - 6 x sin (x^{2}) - 4 x^{3} cos (x^{2})

= - 6 x sin (x^{2}) - 4 x^{3} cos (x^{2})

\frac{d y}{d t} = (y - sin (t)) + cos (t)

6 x, x^{2}

\int 8 e^{- 8 x} d x

\frac{d}{d t} (- sin (t))

f (x) = \frac{1}{1 x}, at x = 9

What is the derivative of cos(x^2)-2x^2sin(x^2) ?
The derivative of cos(x^2)-2x^2sin(x^2) is -6xsin(x^2)-4x^3cos(x^2)
What is the first derivative of cos(x^2)-2x^2sin(x^2) ?
The first derivative of cos(x^2)-2x^2sin(x^2) is -6xsin(x^2)-4x^3cos(x^2)