Easy Differentiation Question?

3 ⤊

Easy Differentiation Question?

differentiate h(x) = In(cos^2 x)

2007-11-12 21:07:32 · 2 answers · asked by Komin A 1 in Science & Mathematics ➔ Mathematics

2 answers

in (cos ^2 x) =2 ln cos x

d/dx (2 ln cos x) = 2/cos x d/dx cos x = - 2 sin x/cos x = -2 tan xx

2007-11-12 21:11:23 · answer #1 · answered by Mein Hoon Na 7 · 1⤊ 1⤋

let u = (cos x)Â²
du/dx = 2(cos x)(- sin x) = - 2 cos x sin x
y = ln u
dy/du = 1/ u = 1 / (cos x)^4
dy/dx = (dy/du) (du/dx)
dy/dx = (1 / cos x)^4 (- 2 cos x sin x)

2007-11-13 13:04:04 · answer #2 · answered by Como 7 · 2⤊ 1⤋