TurunAN

bentuk  y =  {f (x)}ⁿ

turunan y' =  n (f (x))ⁿ⁻¹. f'(x)

Penjelasan dengan langkah-langkah:

1. f(x) =  (-2x +6)³

f'(x) =  3 (-2x + 6)² (-2)

f'(x) =  3(-2)(-2x + 6)²

f'(x) =  -6 ( -2x + 6)²

2. f(x) =  (x² - 4x + 3)⁴

f'(x) =  4 (x² - 4x + 3)³ (2x- 4)

f'(x) =  4(2x-4) (x² - 4x + 3)³

f'(x) = (8x- 16)(x² -4x + 3)³

3. f(x) =  (x³+ x² -3x + 1)⁷

f'(x) =  7 (x³+ x² -3x + 1)⁶ (3x² + 2x - 3)

f'(1) =  7 (1³+ 1² -3(1) + 1)⁶ (3(1)² + 2(1) - 3)

f'(1) =  7 (1+1 - 3+ 1)⁶(3+ 2 - 3)

f'(1) =  7(0)⁶(2)

f'(1) =  0