Calculus Question?

2 ⤊

Find the derivative of ln(4x*cos(x))

Thanks

2006-10-27 12:24:13 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

Let y = ln(4x*cos(x))
= ln 4 + ln x + ln (cos x)
dy/dx = 1/x + -sinx/cosx
= 1/x - tan x

2006-10-27 13:01:43 · answer #1 · answered by Wal C 6 · 1⤊ 0⤋

Chain rule:

1/(4x*cos(x))*d/dx[4x*cos(x)]

Product rule:

1/(4x*cos(x))*[cos(x)*4 - 4x*sin(x)]

2006-10-27 19:26:41 · answer #2 · answered by James L 5 · 1⤊ 0⤋