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Popular >

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

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

Popular Examples

t^2y^{''}-3ty^'+3y=0,y(1)=5,y^'(1)=3

t^{2} y^{^{''}} - 3 t y^{^{'}} + 3 y = 0, y (1) = 5, y^{^{'}} (1) = 3

area 5cos(4x),5-5cos(4x),[0, pi/4 ]area

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(\partial)/(\partial x)(2x-sqrt(4y^2+3z^2))

\frac{\partial}{\partial x} (2 x - 4 y^{2} + 3 z^{2})

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x \to 0 - lim (\frac{- \frac{1}{2}}{4 x})

taylor e^{(-x^2)}taylor

e^{(- x^{2})}

Frequently Asked Questions (FAQ)

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