# Let y = [f(x)]3 and suppose that f′ (1) = 4 and y′ = 10 for x = 1. Find f(1)?

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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.

- For what values of x is #f(x)=4x^5-5x^4# concave or convex?
- Let y = [f(x)]3 and suppose that f′ (1) = 4 and y′ = 10 for x = 1. Find f(1)?
- Is #f(x)=4x^5+2x^3-2x^2+2x+8# concave or convex at #x=-3#?
- What are the points of inflection of #f(x)=2xe^-x + x^2e^x #?
- How do you determine whether the function #f(x)=(2x-3) / (x^2)# is concave up or concave down and its intervals?

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