Let (x+y)^(p+q) = x^p · y^q, where p, q are positive integers. The derivative of y with respect to x
A.depends on p only
B.depends on q only
C.depends on both p and q
D.is independent of both p and q✓ Correct
Explanation
Taking log: (p+q)log(x+y) = p·logx + q·logy. Differentiating: (p+q)(1+y')/(x+y) = p/x + qy'/y. The standard result for this implicit equation is dy/dx = y/x, which is independent of p and q.
💡 Practice unlimited NDA PYQs + AI-tracked progress on each topic. Sign up free →