MEDAL WILL BE AWARDED - I JUST NEED YOUR ANSWER PLEASE to see if it matches mine - For a curve with equation y = 3x2 − x:
find the gradient of chord PQ, where P is the point (1, 2) and Q is the point ((1+h),3(1+h)2 −(1+h))

Question

MEDAL WILL BE AWARDED - I JUST NEED YOUR ANSWER PLEASE to see if it matches mine - For a curve with equation y = 3x2 − x:
find the gradient of chord PQ, where P is the point (1, 2) and Q is the point ((1+h),3(1+h)2 −(1+h))

wolf1728 · Answer

In order to get the gradient or slope we will need the exact position of Q.  
What is 'h' ?

anonymous · Answer

arrow 0

anonymous · Answer

h->0 i would assume because it doent state @wolf1728

wolf1728 · Answer

Okay I made a graphic with point P labelled but again where is point Q?

anonymous · Answer

what s your answer ?

anonymous · Answer

@Myininaya

anonymous · Answer

@Satellite

anonymous · Answer

i just need to check my answer does anyone have an answer :(

campbell_st · Answer

1st question, what answer do you have...?

anonymous · Answer

its only one question but i got 3h+1 and the answer is meant to be 3h + 5

campbell_st · Answer

well the answer is correct... 

I think the problem is the way you have distributed

$$\frac{2 - [3(1+h)^2 -(1 + h)]}{1 - (1 + h)} = \frac{2 - (3 + 6h + 3h^2 - 1 - h)}{h}$$

hope this helps

anonymous · Answer

ill try it thanks @cambell_st

anonymous · Answer

now i get -6h-9 what did you get?

directrix · Answer

I got 3h + 5 which @campbell_st  said is correct.

Take note of what he said about the way you used the distributive property.

anonymous · Answer

could you possibly show me your full working

campbell_st · Answer

I missed the negative in the denominator above, a typo so you get

$$\frac{2-(2 + 5h + 3h^2)}{-h} = \frac{2 -2 -5h -3h^2}{-h} = 5 + 3h$$