(a) find the differential dy. y = cos(x) dy =? (b) evaluate dy for the given values of x and dx. (round your answer to three decimal places.) x = π/3, dx = 0.1. dy=?

(a) Find the differential dy.

y = cos(x)

To find dy we take derivative of y

y = cosx

So

Multiply by dx on both sides

dy = -sin(x) dx

(b) x = π/3, dx = 0.1

Plug in the values and find out dy

dy = -sin(\frac{\pi}{3}) * 0.1

dy = -0.0866

dy= -0.087

is there more to this question?