What is the derivative of cos^2((a-x^3)) ?

The derivative of cos^2((a-x^3)) is 6cos((a-x)^3)sin((a-x)^3)(a-x)^2

What is the first derivative of cos^2((a-x^3)) ?

The first derivative of cos^2((a-x^3)) is 6cos((a-x)^3)sin((a-x)^3)(a-x)^2

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\frac{d}{d x} (cos^{2} ((a - x)^{3}))

6 cos ((a - x)^{3}) sin ((a - x)^{3}) (a - x)^{2}

Solution steps

\frac{d}{d x} (cos^{2} ((a - x)^{3}))

Apply the chain rule:

2 cos ((a - x)^{3}) \frac{d}{d x} (cos ((a - x)^{3}))

= 2 cos ((a - x)^{3}) \frac{d}{d x} (cos ((a - x)^{3}))

\frac{d}{d x} (cos ((a - x)^{3})) = 3 sin ((a - x)^{3}) (a - x)^{2}

= 2 cos ((a - x)^{3}) \cdot 3 sin ((a - x)^{3}) (a - x)^{2}

Simplify

= 6 cos ((a - x)^{3}) sin ((a - x)^{3}) (a - x)^{2}

t^{2} cos (8 t)

\frac{d}{d x} (x^{3} - 8 x^{2} + 31 x)

\frac{d ^{2}}{d x ^{2}} (x^{2} e^{x})

n = 0 \sum \infty - 3^{n}

What is the derivative of cos^2((a-x^3)) ?
The derivative of cos^2((a-x^3)) is 6cos((a-x)^3)sin((a-x)^3)(a-x)^2
What is the first derivative of cos^2((a-x^3)) ?
The first derivative of cos^2((a-x^3)) is 6cos((a-x)^3)sin((a-x)^3)(a-x)^2