Question Detail

MTH 102 Practice Questions MTH 102 Objective Question
Take CBT

Question

Given f(x,y) = 2cosx·sin²y + y³/x², compute f_x(x,y)
Options
A -2sinx·sin²y - 2y³/x³
Correct Answer
B 4cosx·cos2y+6y/x²
C -2cosx·sin²y+6y³/x⁴
D 2cosx·sin2y+3y²/x²
Correct Answer

Option A is the correct answer.

Detailed Explanation

Treating y as constant and differentiating with respect to x: d/dx[2cosx·sin²y]=-2sinx·sin²y, and d/dx[y³/x²]=-2y³/x³. Summing gives -2sinx·sin²y-2y³/x³.

Hint

Hold y fixed and differentiate each term with respect to x only.

Question Info

Course: MTH 102
Topic: Practice Questions MTH 102
Type: Objective
Difficulty: Not specified
Question 837 of 930
Previous Course Details Next