# Find the points of inflection of the curve #y=(1+x)/(1+x^2)#?

By Quotient Rule,

#y'={1cdot(1+x^2)-(1+x)cdot2x}/{(1+x^2)^2} ={1-2x-x^2}/{(1+x^2)^2}#

By Quotient Rule,

The inflection points are

#(-2-sqrt{3},y(-2-sqrt{3}))=(-2-sqrt{3},{1-sqrt{3 }}/4)#,

and

I hope that this was helpful.

By signing up, you agree to our Terms of Service and Privacy Policy

The points of inflection of the curve ( y = \frac{1+x}{1+x^2} ) occur at ( x = -1 ) and ( x = 1 ).

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.

- What are the points of inflection, if any, of #f(x)=x^4-10x^3+24x^2+3x+5 #?
- How do you sketch the curve for #y= (x^2+1)/(x^2-4)#?
- How do you find the first and second derivative of #(lnx)^lnx#?
- Do points of inflection have to be differentiable?
- What are the points of inflection of #f(x)= x-(x^2+1)e^x #?

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