one derivative?

0 ⤊

Find the derivative of the function.
y = e^(5x cos x)
y' =

2007-10-04 13:18:54 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

Chain rule:
y' = e^(5x cos x) . d/dx (5x cos x)
Product rule:
y' = e^(5x cos x) . (5 cos x + 5x (-sin x))
= 5 e^(5x cos x) . (cos x - x sin x).

2007-10-04 13:21:54 · answer #1 · answered by Scarlet Manuka 7 · 0⤊ 0⤋

y=e^(5xcos(x))
dy/dx=e^(5xcos(x))[5cos(x)-5xsin(x)]

2007-10-04 13:37:21 · answer #2 · answered by cidyah 7 · 0⤊ 0⤋