NAMA: WINDU MARDIONONIM: 41514110004TGL UTS: 9 MEY 2015PARAF MHS:SOAL DAN JAWABAN UTS MATA KULIAH KALKULUS

1). 40X11y10sinx 15 x9y8 sin yd/dx = u.v + u.v -135x8y8 sin yu =40 x11y10u =440x10y10v =sin xv = cos xd/dy =440x10y10sin x + 40x11y10 cos x 135x8y8 sin yd/dy =............?

d/dy =400x11y9 sin x u.v + u.vu =15x9y8u = 120x9y7v =sin yv = cos yd/dy = 400x11y10sin x 120x9y7sin y + 15x9y8cos yd/dy =............?

2). 47y12cosx 26x7 cos yd/dx = -47y12sin x 182 x6cosyd/dx = - 47y12cosx 1092 x5 cos y

d/dy = 564 y11 cos x + 26 x7sin yd/dy = 6204 y10 cos x + 26 x7cos y3). 25x14y15sin x 29x10y9 cos yd/dx = u.v+u.v 290x9y9cos yu= 25x14y15u =350x13y15v= sin xv = cos xd/dx = 350x13y15sin x + 25x14y15cos x 290x9y9cos yd/dx =.........?

d/dy =375x14y14sin x u.v + u.vu= 29x10y9u= 261x10y8v = cos yv = - sin yd/dy = 375 x14 y14sinx 261x10y8 cos y 29x10y9sin yd/dy =..........?