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

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

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

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

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\frac{d}{d x} (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

k = 1 \sum \infty a (k - 1) x^{k}

\int \frac{1}{( 5 x + 1 )} d x

(t + 1)^{2} e^{- 2 t}

(y^{2} - x y) d x + (x^{2}) d y = 0

(3.1) (4.2)

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