Question

Решите по производным чень

Answer 1

$1) y = -x^{3} + x^{2} -1 \\y` = -3x^{2} +2x\\2)y=\frac{x}{4-x^{2} } \\y` = \frac{(x)`*(4-x^{2} ) - (4-x^{2} )`*x}{(4-x^{2} )^{2} } =\frac{(4-x^{2} )-(-2x)*x}{(4-x^{2} )^{2} } =\frac{4+x^{2} }{(4-x^{2} )^{2} } \\3)y=\sqrt{x^{2}-9 } \\y`= (\frac{1}{2\sqrt{x^{2}-9 }} )*(x^{2} -9)` = \frac{2x}{2\sqrt{x^{2}-9 }}$