Question

Match the partial derivative of function \(Z=x^2+xy^2+y\).

List-I	List-II
A. \(Z_x\)	I. \(2y\)
B. \(Z_y\)	II. \(2xy+1\)
C. \(Z_{xy}\)	III. \(2x+y^2\)
D. \(Z_{yx}\)	IV. \(2y\)

• A. A-I, B-III, C-II, D-IV
• B. A-III, B-II, C-I, D-IV
• C. A-II, B-III, C-I, D-IV
• D. A-I, B-II, C-III, D-IV

Hint:

For well-behaved functions, mixed partial derivatives are equal: \(Z_{xy}=Z_{yx}\).

Answer 1

The Correct Option is B