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

The derivative of cos(5x-2) is -sin(5x-2)*5

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

The first derivative of cos(5x-2) is -sin(5x-2)*5

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

- sin (5 x - 2) \cdot 5

Solution steps

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

Apply the chain rule:

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

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

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

= - sin (5 x - 2) \cdot 5

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