If 𝑦=𝑠𝑖𝑛𝑥, determine the fourth derivative of y with

Question

If 𝑦=𝑠𝑖𝑛𝑥, determine the fourth derivative of y with

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Solution

The first derivative of y = sin(x) is y' = cos(x).

The second derivative of y = sin(x) is y'' = -sin(x).

The third derivative of y = sin(x) is y''' = -cos(x).

The fourth derivative of y = sin(x) is y'''' = sin(x).

So, the fourth derivative of y = sin(x) is sin(x).

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