(x)>0 or 6x-6>0 or x>1, then the function is concave up on the interval (1, ∞). Again If f''(x) <0 or 6x-6<0 or x<1, then the function is concave down on the interval (-∞, 1). You can also solve the inequality by the graphical method withgraphing of inequality. ...
(x)>0 or 6x-6>0 or x>1, then the function is concave up on the interval (1, ∞). Again If f''(x) <0 or 6x-6<0 or x<1, then the function is concave down on the interval (-∞, 1). You can also solve the inequality by the graphical method withgraphing of inequality. ...
The sign of the second derivative allows us to know where the function is concave up or down. If the second derivative is positive the function is concave up, if it is negative it is concave down. The inflection points are the zeros of the second ...
concave up a point x = a, iff f “(x) > 0 at a concave down at a point x = a, iff f “(x) < 0 at a here, f “(x) is the second order derivative of the function f(x). inflection point graph the point of inflection defines the slope of a graph of a function in ...