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(1-x^2)

Solution

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

Solution

4 x cos (1 - x^{2}) sin (1 - x^{2})

Solution steps

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

Apply the chain rule:

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

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

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

= 2 cos (1 - x^{2}) \cdot 2 x sin (1 - x^{2})

Simplify

= 4 x cos (1 - x^{2}) sin (1 - x^{2})

Popular Examples

derivative of (1-4t)/(3+t)derivative of

\frac{1 - 4 t}{3 + t}

integral of ((2z-1))/(2z^2-6z+5)

\int \frac{( 2 z - 1 )}{2 z ^{2} - 6 z + 5} d z

(9x+1)y^2(dy)/(dx)+4x^2+3y^3=0

(9 x + 1) y^{2} \frac{d y}{d x} + 4 x^{2} + 3 y^{3} = 0

derivative of (x^{3.8}/(6^x))

\frac{d}{d x} (\frac{x ^{3.8}}{6 ^{x}})

derivative of tan^2(6θ)derivative of

tan^{2} (6 θ)

Frequently Asked Questions (FAQ)

What is the derivative of cos^2(1-x^2) ?
The derivative of cos^2(1-x^2) is 4xcos(1-x^2)sin(1-x^2)
What is the first derivative of cos^2(1-x^2) ?
The first derivative of cos^2(1-x^2) is 4xcos(1-x^2)sin(1-x^2)