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Lerusha1708
@Lerusha1708
August 2022
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3 и 4 задание, пожалуйста!!!!!!
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snow99
3) v(t) = s'(t) = 3t^2-4
v(4) = 3*4^2-4 = 44
4) Уравнение касательной:
y=f(x0) + f'(x0)*(x-x0)
f(x0) = 2*2^4 + 3*2^3+2^2+8 = 68
f'(x) = 8x^3+9x^2+2x
f'(x0) = 8*2^3 + 9*2^2 + 2*2 = 104
y= 68 + 104*(x-2) = 104x - 140
Уравнение нормали:
y = f(x0) - 1/f'(x0) * (x-x0) = 68 - 1/104 * (x-2)
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Lerusha1708
В 3 можно подробнее
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Answers & Comments
v(4) = 3*4^2-4 = 44
4) Уравнение касательной:
y=f(x0) + f'(x0)*(x-x0)
f(x0) = 2*2^4 + 3*2^3+2^2+8 = 68
f'(x) = 8x^3+9x^2+2x
f'(x0) = 8*2^3 + 9*2^2 + 2*2 = 104
y= 68 + 104*(x-2) = 104x - 140
Уравнение нормали:
y = f(x0) - 1/f'(x0) * (x-x0) = 68 - 1/104 * (x-2)