Asked by jam
If
f(x) = 5ex cos x, find f '(x) and f ''(x).
f(x) = 5ex cos x, find f '(x) and f ''(x).
Answers
Answered by
Steve
ever heard of the product rule?
f = 5e^x cosx
f' = 5e^x cosx - 5e^x sinx
= 5e^x (cosx - sinx)
f" = 5e^x (cosx - sinx) + 5e^x(-sinx-cosx)
= -10e^x sinx
f = 5e^x cosx
f' = 5e^x cosx - 5e^x sinx
= 5e^x (cosx - sinx)
f" = 5e^x (cosx - sinx) + 5e^x(-sinx-cosx)
= -10e^x sinx
Answered by
abdulbasit
5e^xcosx-5^xsinx
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