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At what point on the curve y=e^x is the tangent line parallel to the line y=2x?


shduthi30 25th Mar, 2021
Answer (1)
Ayush 26th Mar, 2021

Hello candidate,

By using the principle of parallel lines, we can know that it both the parallel lines have the same slope which is given by dy/dx of both the curves.

So, taking the derivative of both the curves we get e^x = 2, and show the value of x is equal to (log 2), and the value of Y is equal to 2 (log2).

So, the point is ( log2, 2 log2).

Hope it helps!!

2 Comments
Comments (2)
26th Mar, 2021
thank you so much
Reply
26th Mar, 2021
shduthi30 My Pleasure
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