Question #12ffb

1 Answer
Dec 27, 2017

dy/dx = x^2 - 6x + 5

dy/dx = 0 when x^2 - 6x + 5 = 0

or, (x - 1)(x - 5) = 0

i.e. the gradient is zero at x = 1 and at x = 5

Using iterative methods on y=(x^3)/3 -3x^2 +5x + 7 we get,

x~~-0.88, x~~4.12 and x~~5.77

A sketch is shown

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