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find the value of x for which the rate of change of (x^4)/4 + (x^3)/3 - x is more than (x^4)/4.

find the value of x for which the rate of change of (x^4)/4 + (x^3)/3 - x is more than (x^4)/4.

Grade:12

1 Answers

Vikas TU
14149 Points
5 years ago
Rate of change x .i.e
Differentiate it and it should be greater than x^4/4.

x^3  + 3x^2 – 1 > x^4/4
or 
x^4/4 – x^3 – 3x^2 + 1
(x – 1) (ax^3 + bx^2 + cx + d)

To determine other factors use
sum of roots, products of roots concept using 4th root as 1.
and draw the wavy curve and determine the range.

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