What are the points of inflection, if any, of #f(x) = 4x^6 +4x^5 -5x^4 #?
We'll look for the second derivative now.
We could set the second derivative to zero. There it is, the second derivative.
Examine these points in more detail, just to be sure. You'll be happy you did, because your responses are...
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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.
- If #y = 1 / (1+x^2)#, what are the points of inflection, concavity and critical points?
- How do you sketch the graph that satisfies f'(x)>0 when x<3, f'(x)<0 when x>3#, and f(3)=5?
- How do you find concavity when #f(x)= x^(7/3) + x^(4/3)#?
- What is the second derivative of #f(x)=x/(x^2+1)#?
- How do you find the inflection points for the function #f(x)=xsqrt(5-x)#?

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