What is the derivative of cos(6x^3) ?

The derivative of cos(6x^3) is -sin(6x^3)*18x^2

What is the first derivative of cos(6x^3) ?

The first derivative of cos(6x^3) is -sin(6x^3)*18x^2

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\frac{d}{d x} (cos (6 x^{3}))

- sin (6 x^{3}) \cdot 18 x^{2}

Solution steps

\frac{d}{d x} (cos (6 x^{3}))

Apply the chain rule:

- sin (6 x^{3}) \frac{d}{d x} (6 x^{3})

= - sin (6 x^{3}) \frac{d}{d x} (6 x^{3})

\frac{d}{d x} (6 x^{3}) = 18 x^{2}

= - sin (6 x^{3}) \cdot 18 x^{2}

What is the derivative of cos(6x^3) ?
The derivative of cos(6x^3) is -sin(6x^3)*18x^2
What is the first derivative of cos(6x^3) ?
The first derivative of cos(6x^3) is -sin(6x^3)*18x^2