What is the derivative of-1/2 cos^2(x) ?

The derivative of-1/2 cos^2(x) is cos(x)sin(x)

What is the first derivative of-1/2 cos^2(x) ?

The first derivative of-1/2 cos^2(x) is cos(x)sin(x)

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derivative of

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

cos (x) sin (x)

Solution steps

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

Take the constant out:

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

= - \frac{1}{2} \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)

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

Simplify

- \frac{1}{2} \cdot 2 cos (x) (- sin (x)) : cos (x) sin (x)

= cos (x) sin (x)

y = x^{2} - 3 x - 4, (2, - 6)

\int_{0}^{2} 5^{x} d x

\int arccot (x) d x

y^{^{'}} + 2 y = t e^{- 2 t}

x^{2} y^{^{''}} + 2 x y^{^{'}} + 100.25 y = 0

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