Bonsoir,
f(x) = x^5 - 7x^4 + 4x+3 f ' (x) = 5x^4 - 28x³ + 4
g(x) = (√x + 3x²)(x-3) forme de (u.v) donc g'(x) = u'v+uv'
g'(x) = (1/(2√x) + 6x)(x - 3) + √x + 3x²
h(x) = 1/(x³ + x + 2) forme de u/v donc h'(x) = (u'v - uv')/v²
h ' (x) = (-3x² - 1)/( x³ + x + 2)²
j(x) = (x^10 - x^8 + 5x^5)² forme de u^n donc j'(x) =n(u'.u^(n-1))
j'(x) = 2(10x^9 - 8x^7 + 25x^4)(x^10 - x^8 + 5x^5)
k(x) = (x + 3) / (x² - 3x + 2) forme de u/v donc k'(x) = (u'v - uv')/v²
k'(x) = (-x² - 6x + 11)/(x² - 3x + 2)²
Bonne soirée
