Question

Умолаю
решить быстро
производная степенной функции
найдите f'(-2),f'(0),f'(1),f'(5)
если y=0,25x⁴-3x³+6x²-4x+12

Answer 1

f(-2)

$y = 0.25 \times( { - 2}^{4} ) - 3 \times ( { - 2}^{3} ) + 6 \times ( { - 2}^{2} ) - 4 \times ( - 2) + 12$

$y = 4 - ( - 24) + 24 - ( - 8) + 12$

$y = 56$

f(0)

$y = 0.25 \times 0 - 3 \times 0 + 6 \times 0 + 12$

$y = 12$

f(1)

$y = 0.25 \times 1 - 3 \times 1 + 6 \times 1 - 4 \times 1 + 12$

$y = 11.25$

f(5)

$y = 0.25 \times {5}^{4} - 3 \times {5}^{3} + 6 \times {5}^{2} - 4 \times 5 + 12$

$y = 156.25 - 375 + 150 - 20 + 12$

$y = - 76.75$