Find the 2nd Derivative sin(x)

Problem

d2(sin(x))/(d(x)2)

Solution

1. Identify the function to be differentiated, which is ƒ(x)=sin(x)

2. Find the first derivative by applying the basic trigonometric differentiation rule d(sin(x))/d(x)=cos(x)

3. Find the second derivative by differentiating the first derivative, cos(x) with respect to x

4. Apply the rule for the derivative of the cosine function, which is d(cos(x))/d(x)=−sin(x)

Final Answer

d2(sin(x))/(d(x)2)=−sin(x)

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