For what values of x is #f(x)=(2x^2−4x)e^x# concave or convex?
The function is convex for
Calculate the first and second derivatives
The roots are
We can build the variation chart
graph{(2x^2-4x)e^x [-17.35, 14.68, -7.95, 8.07]}
By signing up, you agree to our Terms of Service and Privacy Policy
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- What are the points of inflection, if any, of #f(x)=2x(2x-3)^3 #?
- If # e^x / (5+e^x)#, what are the points of inflection, concavity and critical points?
- How do you find intercepts, extrema, points of inflections, asymptotes and graph #f(x)=(2x^2-5x+5)/(x-2)#?
- What are the local extrema and inflection points for #y = 2sin (x) - cos^2 (x)# for #[0, 2π]#?
- If #y=2x+tanx#, find #y'''# third derivative of #y#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7