Question

find the inflection points?

Answer 1

f(x) = x4 − 50x2 + 1

Answer 2

take the second derivative, set to zero

Answer 3

oh thank u i figured it out -5/sq3 and -3116/9

Answer 4

can you explain how to find where it concaves up and down

Answer 5

i always consider the function x^2

y = x^2
y' = 2x
y'' = 2

the sign of the second derivative is what we look at; if the sign is positive (like in x^2) we have a caveUP



if its negative then caveDOWN, if its zero or undefined, it most likely an inflection