What are the critical values of f(x)=e^(x^2)-x^2+xe^x-5x+6e^xf(x)=ex2−x2+xex−5x+6ex?
1 Answer
Explanation:
Critical values are when the slope is zero. We can immediately recognize that this function has
Taking the derivative of
Plotting that,
graph{2x e^(x^2) - 2x + xe^x + e^x - 5 + 6e^x [-3, 3, -30, 30]}
we see that the curve has only a single zero (this is kinda obvious given that
This zero is our one critical value at