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Popular >

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

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Graph

Popular Examples

(\partial)/(\partial x)((sqrt(y))/(2sqrt(x)))

\frac{\partial}{\partial x} (\frac{y}{2 x})

integral of (\sqrt[3]{x}+1)^2

\int (3 x + 1)^{2} d x

t^2y^'+ty=3,y(1)=6

t^{2} y^{^{'}} + t y = 3, y (1) = 6

derivative of f(x)=9x derivative of

f (x) = 9 x

area y=-x,y= 1/2 x-3/2 ,x=-1,x=3 area

y = - x, y = \frac{1}{2} x - \frac{3}{2}, x = - 1, x = 3

Frequently Asked Questions (FAQ)

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