# For what values of x is #f(x)=3x^3-7x^2-5x+9# concave or convex?

To find the function's second derivative, use the power rule.

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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.

- How do you sketch the curve #y=x^3+6x^2+9x# by finding local maximum, minimum, inflection points, asymptotes, and intercepts?
- What are the points of inflection, if any, of #f(x) = -x^6 -4x^5 +5x^4 #?
- For what values of x is #f(x)=(x-1)(x-3)(x+12)# concave or convex?
- How do you find local maximum value of f using the first and second derivative tests: #2x^3-3x^2-36x-3#?
- How do you graph the derivative of #f(x) = cos(x)#?

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