blog #suluclacdne

this week we learned about rolle's theorem. rolle's theorem states that for f(x) on the interval [a,b] if f(a) = f(b) then somewhere within that interval f '(c) = 0.

for example: on the interval [1,-1] f(x) = 3x^4 + 2x^2

f(1) = 3 and f(-1) = 3

this means that 6x = 0.

x = 0.

there is a minimum at zero.