Question

Find the value of x for which the function has horizontal tangent lines
g(x)=3x^2 -5x +6

Answer 1

horizontal lines have slope 0
when is the slope of the tangent line zero? take a derivative to find out

Answer 2

i don't know how to start it

Answer 3

start by finding g'(x)

Answer 4

what's that?

Answer 5

have you studied derivatives of functions

Answer 6

not necessarily, trying to help my sis with her homework

Answer 7

does it has to do something with
(x+h)^2 - x
divided by 2

Answer 8

http://www.mathsisfun.com/calculus/derivatives-introduction.html

Answer 9

can draw out the steps on how to solve the problem?

Answer 10

@Kainui

Answer 11

@abb0t

Answer 12

@shamil98

Answer 13

step 1: find the derivative of g(x)
step 2: set g'(x) (this is the derivative of g(x)) equal to 0
step 3: solve for x

Answer 14

i don't know how to find the derivative of g(x) but i know how to do the rest of the steps

Answer 15

http://tutorial.math.lamar.edu/Classes/CalcI/DiffFormulas.aspx

Use this to help you find g'(x)