Turunan dari fungsi f(x) = (5x^2 – 1)^2 adalah...

Materi : Turunan

y = [ u(x) ]ᵃ
y' = a . [ u(x) ] ᵃ⁻¹ . u'(x)


f(x) = (5x² – 1)²
f '(x) = 2 (5x² – 1) . 10x
f '(x) = 20x (5x² – 1)
f '(x) = 100x³ – 20x

[tex]f(x) = (5 {x}^{2} - 1)^{2} \\ \\ f(x) = 25 {x}^{4} - 10 {x}^{2} + 1\\ \\ f ^{c} (x) = 25.4 {x}^{4 - 1} - 10.2 {x}^{2 - 1} + 1.0 \\ \\ {f}^{c} (x) = 100 {x}^{3} - 20x + 0 \\ \\ {f}^{c} (x) = 100 {x}^{3} - 20x[/tex]