How do you find local min and max, point of inflection and concavity for the equation #f(x) = 4x^3 + 21x^2 - 294 +7#?
The function has a minimum at
The function has a maximum at
Find the first derivative
Set it equal to zero. you are doing it to know for which value of 'x' the slope of the curve of the function becomes zero
Find the second derivative to judge for which value of "x" the function has a minimum, maximum and point of inflection.
Hence the function has a minimum at
Hence the function has a maximum at
To find the point of inflection, set the second derivative equal to zero