A) Find the intervals where g(x)=2x^3-96x^2+1440x-3676 is increasing and the intervals where it is decreasing.
B) Find the intervals where h(x)=-1/2x^4+3x^3+54x^2+9x-1 is concave up and concave down.
Help would be much appreciated.© BrainMass Inc. brainmass.com March 5, 2021, 12:33 am ad1c9bdddf
A function increases in the interval where its first derivative is positive.
It decreases in the interval where its first derivative is negative.
For a decreasing function we see that for we get, using the definition of the derivative:
For increasing function:
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The expert finds the intervals for increasing and decreasing values.