Hi, I am finding it difficult to undertake this question, can anyone please assist me?
Find dy/dx in terms of x and y for:
x^2 = arctan(y) / 1+y^2
Any help much appreciated,
The derviative of is, of course, 2x. By the quotient rule, the derivative of f(y)/g(y) is . Further, the derivative of arctan(y) is so the derivative of , with respect to y, is .
The derivative with respect to x, rather than y, is that times so we have .