Answer to Question #155197 in Calculus for Phyroe

Question

Find the differential of y=(x+a)²

Answer 1

Find the differential of y=(x+a)²

differential, dy = y' dx

Since "a" is a constant.

using chain rule to find y'

${dy \over dx} = {dy \over du} × {du \over dx}$

Let u$=x + a$

then ${du \over dx} = 1$

y = u²

${dy \over du} = 2u$

$\because$ ${dy \over dx} = 2u . 1$

$dy =2(x +a)dx$