KSizzle1998 KSizzle1998

09-02-2021
Mathematics

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Find the 96 th derivative of f(1) = sin c.
f (96) (2)
=

Find the 96 th derivative of f1 sin c f 96 2 class=

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LammettHash LammettHash

09-02-2021

The derivatives of sin(x) follow a simple pattern:

f(x) = sin(x)

f '(x) = cos(x)

f ''(x) = - sin(x)

f '''(x) = - cos(x)

f ''''(x) = sin(x)

and so on. 96 is a multiple of 4, so

f ⁽⁹⁶⁾(x) = sin(x)

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