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

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

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

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

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

sin (1 - x)

Solution steps

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

Apply the chain rule:

- sin (1 - x) \frac{d}{d x} (1 - x)

= - sin (1 - x) \frac{d}{d x} (1 - x)

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

= - sin (1 - x) (- 1)

Simplify

= sin (1 - x)

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