Question Detail

MTH 102 MTH 102 Past Questions Objective Question

Question

If y = sinx, what is d³y/dx³?
Options
A sec x
B -sin x
C -cos x
Correct Answer
D tan x
Correct Answer

Option C is the correct answer.

Detailed Explanation

Given y = sin x.First derivative: dy/dx = cos xSecond derivative: d²y/dx² = -sin xThird derivative: d³y/dx³ = -cos xThis matches option C.

Hint

Differentiate the function y = sin x three times in succession.

Question Info