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Category: Rate of Change

Find instantaneous rate of change

Find instantaneous rate of change

Derivative
d/dx(3 x^3 + 2 x) = 9 x^2 + 2
Geometric figure
parabola
Alternate form
(sqrt(2) – 3 i x) (sqrt(2) + 3 i x)
Polynomial discriminant
Delta = -72
Indefinite integral
integral (2 + 9 x^2) dx = 3 x^3 + 2 x + constant
Global minimum
min{9 x^2 + 2} = 2 at x = 0