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Popular >

derivative of acos^2(x)

Solution

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

Solution

- a sin (2 x)

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

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

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

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

= a \cdot 2 cos (x) (- sin (x))

Simplify

a \cdot 2 cos (x) (- sin (x)) : - a sin (2 x)

= - a sin (2 x)

Popular Examples

sum from n=0 to infinity of 4

n = 0 \sum \infty 4

(\partial)/(\partial x)((x^2+y^2)^3)

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

(\partial)/(\partial x)(f(x,y)x(x,y))

\frac{\partial}{\partial x} (f (x, y) x (x, y))

\frac{d y}{d x} = 8 y

tangent of f(x)=(2/(x-2)),\at x=4 tangent of

f (x) = (\frac{2}{x - 2}), at x = 4

Frequently Asked Questions (FAQ)

What is the derivative of acos^2(x) ?
The derivative of acos^2(x) is -asin(2x)
What is the first derivative of acos^2(x) ?
The first derivative of acos^2(x) is -asin(2x)