Question

For the function, find the pts on the graph at which the tangent line is horiziontal. If none exist, state that fact.
f(x)=5x^2-2x+5

Answer 1

Do you know what a derivative is?

Answer 2

Yes

Answer 3

lines are horizontal when the slope is 0

Answer 4

So just find the derivative then set it equal to zero?

Answer 5

yes

Answer 6

Gotchya:) Makes sense

Answer 7

Wait, question :o

Answer 8

@wio

Answer 9

So the deriv is y=10x-2

Answer 10

yes

Answer 11

0=10x-2
+2
2=10x
2/10=.2
.2=x

Answer 12

So my answer is just (0.2,0)?

Answer 13

I feel like there has to be another point :O

Answer 14

Why, it's a parabola.

Answer 15

Well the math program I'm using is saying it's wrong too :(

Answer 16

where else is it horizontal?

Answer 17

It says the answer is (1/5,24/5)

Answer 18

0.2 =1/5

Answer 19

That's just the vertex.. how in the world did they get 24/5

Answer 20

I'm assuming the answer to these questions will always just be the vertex?

Answer 21

Yeah, that's just dumb. The answers to these are the vertex.