Question

pleases guys i need a help with this: find the gradient of the tangent to the following curve at the point where y=-2. y=x^2-x-6

Answer 1

calculate the 1st derivative, do you know how to do that?

Answer 2

at y=-2, you should have two x values... and therefore two answers.

Answer 3

the first derivative y'=2x-1 right?

Answer 4

yes

Answer 5

now find the x values that correspond with y=-2.

Answer 6

then plug those x values into your derivative

Answer 7

i found two values of x can we have two tangents at the same point?

Answer 8

no

Answer 9

but it's not the same point, it's just the same value of y

Answer 10

so it is logical that there are two x values

Answer 11

of course not.... there is only one tangent line at EACH point. but you have two points...

Answer 12

did you solve it?

Answer 13

two points having the same why value?

Answer 14

yes

Answer 15

they have the sam y value, which is -2 and have different x values

Answer 16

i found two gradients, m1=3,512 and m2=-4,124

Answer 17

so the two answers are correct?

Answer 18

i don't know about the answers, but yes, there should be 2 gradients

Answer 19

thank u o much guys i found the aswers but i ws not sure about getting two gradient thank u all

Answer 20

your m1 and m2 are incorrect....
you should get \(\large m_1=\sqrt{17} \) for one of them.