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anonymous

  • 5 years ago

what is the 100th derivative of t(x) = sinx ?

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  1. anonymous
    • 5 years ago
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    \[\sin(100\Pi/2 +x)\]

  2. anonymous
    • 5 years ago
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    How did you find that?

  3. anonymous
    • 5 years ago
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    Differentiate sinx about 5 or 6 times and you will notice a pattern

  4. anonymous
    • 5 years ago
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    nth derivative of sinx is sin(nPi/2 +x)

  5. anonymous
    • 5 years ago
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    I think the answer hinge on the fact that derivatives of sin x will get you cos x - sin x and - cos x first sinx second cosx third -sinx fourth -cosx fifth sinx sixth cosx follow the pattern to 100

  6. anonymous
    • 5 years ago
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    Oh, that's really cool chetna.

  7. anonymous
    • 5 years ago
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    yeah that's awesome! where did you get that?

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