For each function below find all critical points x- and y-

Question

For each function below find all critical points, x- and y- intercepts. Apply first and second derivative tests. Indicate the intervals over which the graph is  increasing ii) decreasing iii) concave up iv) concave down.

• Find the (x, y) coordinates of the local max, mins, and inflection points.

• Then graph the results.

a. y=x^3-12x^2+45x  only one zero at(0,0)

b. y=x^4-8x^2+7  zeros at (2.6,0),(-1, 0), (1, 0), (2.6, 0)

c. y=x^5+80x^2  zeroes at (-4.3, 0) and (0, 0)