How do you find the x coordinates of all points of inflection, final all discontinuities, and find the open intervals of concavity for #f(x)=2x^(5/3)-5x^(4/3)#?
Please see below.
# = 20/9x^(-2/3)(x^(1/3)-1)#
# = 20/9 * ((root(3)x-1)/(root(3)x^2))#
The denominator is always positive and the numerator (hence the second derivative) is negative for
There is a point of inflection at
From the sign of