Hi,
There is a problem:
For f(x)=(x^3)+(6x^2)-15x+k
The absolute minimum and absolute maximum values on the interval [-10,2] have the same absolute value. Find the value of k.
Hi,
There is a problem:
For f(x)=(x^3)+(6x^2)-15x+k
The absolute minimum and absolute maximum values on the interval [-10,2] have the same absolute value. Find the value of k.
Absolute minimums and maximums occur where the derivative is 0.
So
or .
This means the critical values are and .
Since your minimum and maximum have the same absolute value,