Turunan f(x) = ^4√5x^2-3 adalah

f (x) = ^4√(5x² - 3)
    y = (5x² - 3)^(1/4)

misal :        u = 5x² - 3
            du/dx = 10x

sehingga :       y = u^(1/4)
                 dy/du = (1/4) u^(- 3/4) 

f' (x) = dy/dx
        = (dy/du) (du/dx)
        = (1/4).u^(- 3/4) . 10x
        = (10x / 4) .u^( - 3/4)
        = 5x / {2. ^4√u³}
        = (5x /2.u) .^4√u
        = {5x / (5x² - 3)} ^4√(5x² - 3)