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Find the derivatives of the given functions.$$y=\cos (1-2 x)$$

$\frac{d y}{d x}=2 \sin (1-2 x)$

Calculus 1 / AB

Chapter 27

Differentiation of Transcendental Functions

Section 1

Derivatives of the sine and Cosine Functions

Derivatives

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we want to find you I. D. X. For the function why equals cosine of one minus two X. So to do. So we're going to rely on derivative shortcuts. We've picked up two single variable calculus such as those that you're gonna metric derivatives especially that's the most important rules are listed below. On the left rule zero is D D X and X equals Cossacks and DDX. Cossacks making Synnex. We also have rules one through three listed the power rule, product rule in chain rule. And this particular problem will rely on rules zero, three and 1 to solve. So we put this in the easiest form of differentiate that's already the form is currently in. So why would anyone minus two X. Next we proceed to solve. So let's differentiate. This gives dy dx equals negative sign one minus two X. The derivative coasts times negative to the derivative of what's inside the the chain and power rules So our negatives cancel. And our final solution is Dy dx is equal to two times a sign Of 1 -2. X.

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