What is the derivative of cos(2x-1) ?

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

What is the first derivative of cos(2x-1) ?

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

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\frac{d}{d x} (cos (2 x) - 1)

- 2 sin (2 x)

Solution steps

\frac{d}{d x} (cos (2 x) - 1)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (cos (2 x)) - \frac{d}{d x} (1)

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

\frac{d}{d x} (1) = 0

= - sin (2 x) \cdot 2 - 0

Simplify

= - 2 sin (2 x)

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