# Natural exp questionWatch

#1
The question is as follows: Given that the curve and touch each other, show that .

Do I have to use any iterative method to prove this?

Thanks
0
7 years ago
#2
(Original post by superkinetic)

Do I have to use any iterative method to prove this?

Thanks
No.
#3
(Original post by ghostwalker)
No.
So how do I solve this? I tried squaring both sides but stuck. Thanks
0
7 years ago
#4
(Original post by superkinetic)
So how do I solve this? I tried squaring both sides but stuck. Thanks
If two curves touch then you know two things regarding their point of contact.

a) They have the same y value at that point.

b) They have the same gradient at that point.

Can you take it from there?
#5
(Original post by ghostwalker)
If two curves touch then you know two things regarding their point of contact.

a) They have the same y value at that point.

b) They have the same gradient at that point.

Can you take it from there?
Same gradient! I never thought of that till you mention it. Thanks!
0
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