Find the 3rd Derivative y=sin(x)

Problem

d3(sin(x))/(d(x)3)

Solution

1. Find the first derivative by applying the derivative rule for the sine function.

d(sin(x))/d(x)=cos(x)

2. Find the second derivative by differentiating the first derivative, cos(x)

d(cos(x))/d(x)=−sin(x)

3. Find the third derivative by differentiating the second derivative, −sin(x)

(d(−)*sin(x))/d(x)=−cos(x)

Final Answer

d3(sin(x))/(d(x)3)=−cos(x)

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