Derivative of y = cos(2-3x) using Chain Rule | Calculus Tutorial

To find dy/dx, we need to apply the chain rule.

Let u = 2 - 3x. Differentiating u with respect to x, we get du/dx = -3.

Now, let y = cos(u). Differentiating y with respect to u, we get dy/du = -sin(u).

Finally, using the chain rule, we have dy/dx = dy/du * du/dx.

Substituting the values we found, we have dy/dx = -sin(u) * -3 = 3sin(2-3x).

Therefore, dy/dx = 3sin(2-3x).