Question Detail
Question
If y = sin x, what is d³y/dx³?
Correct Answer
Option C is the correct answer.
Detailed Explanation
To find the third derivative of y = sin x, we differentiate successively:1. dy/dx = d/dx (sin x) = cos x2. d²y/dx² = d/dx (cos x) = -sin x3. d³y/dx³ = d/dx (-sin x) = -cos xThus, the third derivative is -cos x.
Hint
Remember the derivatives of sin x and cos x: d/dx(sin x) = cos x and d/dx(cos x) = -sin x.