What approach would be ideal in finding \frac{d^{40}y}{dx^{40}}, when y=\sin

Perla Benitez

Perla Benitez

Answered question

2022-04-18

What approach would be ideal in finding d40ydx40, when y=sinx ?

Answer & Explanation

awalkbyfaithbzu6

awalkbyfaithbzu6

Beginner2022-04-19Added 21 answers

Notice that every fourth derivative of sin(x) is sin(x) itself. Therefore we can write this statement:
If y=sinx, then d4nydx4n=sin(x)
40 is amultiple of 4, which means that:
d40ydx40=sin(x)
It really is that simple.

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