What is the second derivative d^2y/dx^2 of y = sin(x)?
Answer and explanation
Correct answer: D. -sin x
- Step 1: First derivative dy/dx = cos(x). Step 2. Second derivative d^2y/dx^2 = d/dx [cos x] = -sin(x). Answer: -sin x. Why not the others: cos x is the first derivative; -cos x is the third derivative; sin x misses the minus sign.
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