f'(x)=((x-√x)³)'
[tex]f'(x)=3(x-\sqrt{x} )^2\times (x-\sqrt{x} )'=3(x-\sqrt{x} )^2(1-\frac{1}{2\sqrt{x} })\\\\f'(x)= 3(x^2-2x\sqrt{x} +x)(1-\frac{\sqrt{x} }{2x} )= 3(x^2-2x\sqrt{x} +x)\times \frac{2x-\sqrt{x} }{2x} \\\\[/tex]
Asta daca ai scris corect sau daca am inteles corect f(x)
Folosim formulat (uⁿ)'=n×uⁿ⁻¹×u'