Уравнение касательной:
[tex]y = f( x_{0}) - f'( x_{0})(x - x_{0})[/tex]
[tex]f'(x) = ({ - x}^{2} )' = - 2x[/tex]
[tex]y = - ( - 3) {}^{2} - ( - 2 \times 3)(x - ( - 3)) = - 9 - ( - 6)(x + 3) = - 9 - ( - 6x -18) = - 9 + 6x + 18 = 6x + 9 [/tex]
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Уравнение касательной:
[tex]y = f( x_{0}) - f'( x_{0})(x - x_{0})[/tex]
[tex]f'(x) = ({ - x}^{2} )' = - 2x[/tex]
[tex]y = - ( - 3) {}^{2} - ( - 2 \times 3)(x - ( - 3)) = - 9 - ( - 6)(x + 3) = - 9 - ( - 6x -18) = - 9 + 6x + 18 = 6x + 9 [/tex]