# What are the points of inflection, if any, of #f(t) = 4t^3 + 3t^2 - 6t +1 #?

Inflection point is at

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

To find the points of inflection of ( f(t) = 4t^3 + 3t^2 - 6t +1 ), we first need to find its second derivative and then solve for the values of ( t ) where the second derivative changes sign.

The second derivative of ( f(t) ) is ( f''(t) = 24t ).

Setting ( f''(t) = 0 ), we find that ( t = 0 ).

Since ( f''(t) ) does not change sign at ( t = 0 ), there are no points of inflection for the function ( f(t) ).

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.

- 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)#?

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