Hi, I have many questions about implicit differentiation (which we didn't learn how to do in class I guess):
1. Given that x = cos(y), find dy/dx in terms of x, using the fact y = cos^-1x
2. Given that x = tan(y), find dy/dx in terms of x, using the fact y = tan^-1x
3. Given y = x^x^2, find dy/dx in terms of x.
4. Find dy/dx in terms of x and y for the equation: e^xy = 2 (answer is = y/x, but I'm getting -e^x/e^y)
For Q1-2 I can find dy/dx in terms of x and y, but I find dy/dx in terms of x by using the facts.
Thanks in advance.