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

The derivative of cos(2x^3-x) is -sin(2x^3-x)(6x^2-1)

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

The first derivative of cos(2x^3-x) is -sin(2x^3-x)(6x^2-1)

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

- sin (2 x^{3} - x) (6 x^{2} - 1)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (2 x^{3} - x) = 6 x^{2} - 1

= - sin (2 x^{3} - x) (6 x^{2} - 1)

What is the derivative of cos(2x^3-x) ?
The derivative of cos(2x^3-x) is -sin(2x^3-x)(6x^2-1)
What is the first derivative of cos(2x^3-x) ?
The first derivative of cos(2x^3-x) is -sin(2x^3-x)(6x^2-1)