What is the derivative of f(x)=cos^2(x) ?

The derivative of f(x)=cos^2(x) is -sin(2x)

What is the first derivative of f(x)=cos^2(x) ?

The first derivative of f(x)=cos^2(x) is -sin(2x)

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derivative of

f (x) = cos^{2} (x)

- sin (2 x)

Solution steps

\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)

= 2 cos (x) (- sin (x))

Simplify

2 cos (x) (- sin (x)) : - sin (2 x)

= - sin (2 x)

x \to 0 lim (- 2 sin (x))

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

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

y = 3 x^{3} - 2 x, (1, 1)

x \to 0 lim (\frac{x + 1}{∣ x ∣})

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