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

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

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

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

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derivative of

cos^{2} (x^{3})

- 3 x^{2} sin (2 x^{3})

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

= - 3 x^{2} sin (2 x^{3})

\frac{d}{d t} (12 + 8 t - 4 t^{2})

\frac{d}{d x} (+ 5 - 5 x^{- 1} + x^{2} + 3)

f (x) = - 2 x - 4

\frac{- 1}{( x - 2 ) ^{2}}

5 (t) i + (40 - 5 (t)^{2}) j

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