Question

find all local max/min for f(x)=x^3-10x^2+20

Answer 1

First find the derivative of f(x)..

can you do that??

Answer 2

wo3x-20x

Answer 3

what??

Answer 4

Is it \(3x^2 - 20x\) ???

Answer 5

lol my bad type error

Answer 6

Now put this result to 0..

\[3x^2 - 20x = 0 \implies x(3x - 20) = 0 \implies x = 0 \qquad \And \qquad x = \frac{20}{3}\]

Answer 7

So the two points we get are:

x = 0 and x = 6.6

Draw it on number line: