Question

How many critical points does the function f(x)=(x+2)^5(x-3)^4 have?

Answer 1

Hello there!

The critical points are....
$(x,f(x)) = (-2, 0)$
$(x,f(x))=(3,0)$
$(x,f(x))=( \frac{7}{9}, \frac{1562500000000}{387420489}) or (0.777777777777778,4033.08561205187)$

Therefore 3 is your answer!

Hope this helps!