What is the derivative of cos(5x^2-x) ?

The derivative of cos(5x^2-x) is -sin(5x^2-x)(10x-1)

What is the first derivative of cos(5x^2-x) ?

The first derivative of cos(5x^2-x) is -sin(5x^2-x)(10x-1)

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\frac{d}{d x} (cos (5 x^{2} - x))

- sin (5 x^{2} - x) (10 x - 1)

Solution steps

\frac{d}{d x} (cos (5 x^{2} - x))

Apply the chain rule:

- sin (5 x^{2} - x) \frac{d}{d x} (5 x^{2} - x)

= - sin (5 x^{2} - x) \frac{d}{d x} (5 x^{2} - x)

\frac{d}{d x} (5 x^{2} - x) = 10 x - 1

= - sin (5 x^{2} - x) (10 x - 1)

What is the derivative of cos(5x^2-x) ?
The derivative of cos(5x^2-x) is -sin(5x^2-x)(10x-1)
What is the first derivative of cos(5x^2-x) ?
The first derivative of cos(5x^2-x) is -sin(5x^2-x)(10x-1)