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Find the length of arc ABC?
Any variables to help us out? What points are ABC? Why are there three points for a curved line (something that has two points)?
Why the derivative is set equal to zero?
The first derivative is set to zero to find the critical points of the function. A critical point can be a minimum, maximum, or a saddle point. There's a reason for this. Suppose a differentiable function f:R->R has a maximum at x=a. Then the function goes down to the right of a, which means f'(a)
How do you find points of inflection in calculus?
Points of inflection on curves are where the curvature changes sign, such as when the second deriviative changes sign
How do you find critical value for a total revenue function?
If it is a differentiable function, you find the value at which its derivative is 0. But in general, you can plot it as a line graph and see where it peaks.
How do you find the domain and range of a parabola?
The domain is any subset of the real numbers that you choose, The range is the set of all values that the points in the domain are mapped to.
