Posted by andi telaumbanua on Feb 11, 2018 in
Matematika |
Tentukanlah f^’ dan f^” dari fungsi dibawah ini ! f(x) = x^2/(1+2x)
Jawab :
f^’ = ((2x)(1+2x)- (x^2)(2))/(1+2x)^2 = (2x^2+ 2x)/(1+2x)^2
f^”= ((4x+2)(1+4x+4x^2 )- (2x^2+ 2x)(4+8x))/(1+2x)^2^2
f^”= ((4x+2)(1+4x+4x^2 )- (4x^2+ 4x)(2+4x))/(1+2x)^2^2
f^”= ((4x+2)(1+4x+4x^2- 4x^2- 4x))/(1+2x)^2^2
f^”= ((4x+2)(1))/(1+2x)^4
f^”= ((4x+2))/(1+2x)^4