Question

Find the points of inflection.

f(x) = 5x3 + 2x + 5

Answer 1

You start by taking the first derivative. \[f{\prime}(x)=15x ^{2}+2\]
Then you solve it for zero. x^2=-2/15
Then your answers should be points of inflection.

Answer 2

Isn't the first derivative 30x?
so the point would be zero?

Answer 3

No. You take the power off each x value and multiply it by the coefficient of x. Then you have to reduce the power of x by 1. Any constant just disappears

Answer 4

thanks