Task/26088910
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Дана функция f(x) = - x⁴ +5x² -15 .
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Найдите f '(4) , f '(-1/2) .
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f '(x) =(-x⁴ +5x² -15 ) ' =- 4x³ +5*2x =2x(5 -2x² ) .
f ' (4) = 2*4(5 -2*4²) = 8(5-2*16) =8 *(-27) = - 216.
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f ' (1/2) = 2*(1/2)* (5 -2*(1/2)² ) = 5-2*1/4 = 5 -1/2 = 4 , 5.