Differentiate the function X^4 - (20/3)X^3 + 2X^2 + 7. Find the stationary points and classify.
Differentiation => 4X3 - 20X2 + 4XTo find the stationary points, set this differentiation = 04x (x2- 5x +4)4x (x-4)(x-1)x=0, x=4, x=1 are stationary points.
Find the second derivative 12X2 -40X +4. Substitute each of the stationary x values in.> 0 is minimum (x=0, x=4)<0 is maximum (x=1)
AH
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