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maksimovaserafima
@maksimovaserafima
August 2022
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Найти значение производной функции f(x) в точке х0, если
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nKrynka
Решение
f(x) = 2 - 1/√x при x₀ = 1/4
f`(x) = - (x⁻¹/²)` = (1/2)*x⁻³/² = 1/[(2*x³/²)
при x₀ = 1/4
f`(1/4) = 1/[2*(1/4)³/²] = 2³/2 = 8/2 = 4
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Answers & Comments
f(x) = 2 - 1/√x при x₀ = 1/4
f`(x) = - (x⁻¹/²)` = (1/2)*x⁻³/² = 1/[(2*x³/²)
при x₀ = 1/4
f`(1/4) = 1/[2*(1/4)³/²] = 2³/2 = 8/2 = 4