Just what the doctor ordered. Challenged me but not overwhelming. Good lesson for me: Show my work step by step -- my arithmetic errors sprout like dandelions.
Just last week I started taking Jason's Linear Algebra course for the second time. Why? Just for kicks and because he is a heck of a teacher. Wish I was a teenager again. Hey kids, opportunity is banging the door here. Answer the door you won't regret it. Five stars.
In say y = sin(x^2) We should just make x^2 =u. Then y = sin u Then dy/du = cos u and dy = cos u . du = cos (x^2) .du. Dividng both sides by dx gives du/dx = cos(x^2)*du/dx But du =dx^2. So du/dx =2x Final answer is dy/dx = cos(x^2).2x.
