Tugas Turunan

TUGAS

  1. F(x) = 3x⁴ - 5x² + 8x – 10

Penyelesaian

F’(x) = 4.3x^4-1 - 2.5x^2-1  + 8x^1-1

F’(x) = 12x³ – 10x + 8

  2.  f(x) = (3x² + 4x + 1)⁴

f’(x) = u(x)ⁿ = n(u(x)^n-1) . u’(x)

diket :

u(x) = 3x² + 4x + 1

n = 4

u’(x) = 6x + 4

penyelesaian

= 4(3x² + 4x + 1)^4-1 . 6x + 4

= 4(3x² + 4x + 1)³ . 6x + 4

= 24x + 16 (3x² + 4x + 1)³