What is the derivative of cos(1-4x) ?

The derivative of cos(1-4x) is 4sin(1-4x)

What is the first derivative of cos(1-4x) ?

The first derivative of cos(1-4x) is 4sin(1-4x)

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\frac{d}{d x} (cos (1 - 4 x))

4 sin (1 - 4 x)

Solution steps

\frac{d}{d x} (cos (1 - 4 x))

Apply the chain rule:

- sin (1 - 4 x) \frac{d}{d x} (1 - 4 x)

= - sin (1 - 4 x) \frac{d}{d x} (1 - 4 x)

\frac{d}{d x} (1 - 4 x) = - 4

= - sin (1 - 4 x) (- 4)

Simplify

= 4 sin (1 - 4 x)

What is the derivative of cos(1-4x) ?
The derivative of cos(1-4x) is 4sin(1-4x)
What is the first derivative of cos(1-4x) ?
The first derivative of cos(1-4x) is 4sin(1-4x)