Question Detail

MTH 102 Practice Questions MTH 102 Objective Question
Take CBT

Question

d/dx[cot(5x+1)] equals
Options
A -5cosec(5x+1)cot(5x+1)
B 5cosec²(5x+1)
C -5cosec²(5x+1)
Correct Answer
D -5cot²(5x+1)
Correct Answer

Option C is the correct answer.

Detailed Explanation

d/dx[cot u]=-cosec²u·u'. With u=5x+1, u'=5, so the result is -5cosec²(5x+1).

Hint

Recall the derivative of cot is -cosec², then apply the chain rule for the inner linear function.

Question Info

Course: MTH 102
Topic: Practice Questions MTH 102
Type: Objective
Difficulty: Not specified
Question 881 of 930
Previous Course Details Next