perplexus.info :: Calculus : Desperately Difficult Derivative #2

Desperately Difficult Derivative #2 (Posted on 2025-02-25)

f(x)=cos(x), find the value of its 2024th derivative, at x=π/2.

No Solution Yet Submitted by K Sengupta

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Starting with cos(x), successive derivatives are:

-sin(x)

-cos(x)

sin(x)

cos(x)

...

so the fourth derivative and all multiples of 4 are cos(x).

2024 is a multiple of 4.

cos(pi/2) = 0, the answer.

Posted by Charlie on 2025-02-25 09:05:30

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