Question
Question: If y = x – x<sup>2</sup>, then the derivative of y<sup>2</sup> w.r.t. x<sup>2</sup> is-...
If y = x – x2, then the derivative of y2 w.r.t. x2 is-
A
2x2 + 3x – 1
B
2x2 – 3x + 1
C
2x2 + 3x + 1
D
None of these
Answer
2x2 – 3x + 1
Explanation
Solution
d(x2)d(y2) = 2x2y.dxdy = x(x−x2)×(1−2x)
= (1 – x) (1 – 2x)
= 2x2 – 3x + 1