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

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

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

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

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derivative of

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

- sin (2 x) \cdot 2

Solution steps

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

Simplify

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

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

Apply the chain rule:

- sin (2 x) \frac{d}{d x} (2 x)

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

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

= - sin (2 x) \cdot 2

y^{^{'}} + \frac{3 y}{x} = \frac{2}{x}

\int_{0}^{π} 15 sin^{2} (2 x) d x

f (x) = - \frac{1}{2} x^{2} - 2 x + 3, at x = 0

f (t) = t - sin (t)

\frac{d}{d y} (\frac{t ^{2}}{4 y ^{4}})

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