What is the derivative of y=cos^4(x)-sin^4(x) ?

The derivative of y=cos^4(x)-sin^4(x) is -sin(2x)*2

What is the first derivative of y=cos^4(x)-sin^4(x) ?

The first derivative of y=cos^4(x)-sin^4(x) is -sin(2x)*2

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derivative of

y = cos^{4} (x) - sin^{4} (x)

- sin (2 x) \cdot 2

Solution steps

\frac{d}{d x} (cos^{4} (x) - sin^{4} (x))

Simplify

cos^{4} (x) - sin^{4} (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

\int sin^{3} (x) cos (d) x d x

x^{2} - 2 x + 4

\int (7 x^{3} + 4 x^{2}) d x

f (x) = 4 x - x^{2}

\int 36 sin^{2} (x) d x

What is the derivative of y=cos^4(x)-sin^4(x) ?
The derivative of y=cos^4(x)-sin^4(x) is -sin(2x)*2
What is the first derivative of y=cos^4(x)-sin^4(x) ?
The first derivative of y=cos^4(x)-sin^4(x) is -sin(2x)*2