MATEMATIKA

Oleh:Dr. Parulian Silalahi, M.Pd

http://polmand4.esy.es/

Rumus Dasar:

y = sinx y’ = cos xy = cos x y’ = - sin xy = tg x y’ = sec2 xy = ctg x y’ = -cosec2 xy = sec x y’ = sec x. tg xy = cosec x y’ = -cosec x. ctg x

Rumus Dasar:

y = sin ax y’ = a.cos axy = cos ax y’ = -a.sin axy = tg ax y’ = a.sec2 axy = ctg ax y’ = -a.cosec2 axy = sec ax y’ = a.sec ax. tg axy = cosec ax y’ = -a.cosec ax. ctg ax

Contoh 3:Tentukanlah turunan dari fungsi trigonometri berikut:1.Sin 5x2.Tg 2xJawab:1.Sin 5x = 5 cos 5x2.Tg 2x = 2sec22x

dxdv

dvdu

dudy

dxdy

dxdu

dudy

dxdy

..

.

Contoh4:Tentukanlah turunan kedua dari fungsi berikut:1.y = 5x3 – 7x2+ 12.y = 3/x2 + 2x4

3.y= sin2xJawab:1.y = 5x3 – 7x2+ 1 dy/dx = 15x2- 14x dy2/dx2 = 30x - 14

2. y = 3/x2 + 2x4

dy/dx = -6x-3 + 8x3

dy2/dx2 = 18x-4 + 24x2

3. y = sin 2x dy/dx = 2 cos 2x dy2/dx2 = -4 sin 2x

TERIMA KASIHSelamat Belajar