Question Detail

MTH 102 Practice Questions MTH 102 Objective Question
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Question

Evaluate y' of y=5x²·tan(2x)
Options
A 10sec²2x+10xtan2x
B 10x²sec²2x+10xtan2x
Correct Answer
C 5x²sec²2x+10x²tan2x
D 5x²sec²2x+10xtan2x
Correct Answer

Option B is the correct answer.

Detailed Explanation

By the product rule: y'=5x²·2sec²2x+10x·tan2x = 10x²sec²2x+10xtan2x.

Hint

Apply the product rule with u=5x² and v=tan(2x).

Question Info

Course: MTH 102
Topic: Practice Questions MTH 102
Type: Objective
Difficulty: Not specified
Question 917 of 930
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