Question: Find the point on the curve y=e^2x+1 where the tangent is parallel to the line y=2ex.

Please help. Thanks.

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- April 20th 2013, 04:27 AMonehundredpercenteffortNatural Logarithm: find the point on the curve
Question: Find the point on the curve y=e^2x+1 where the tangent is parallel to the line y=2ex.

Please help. Thanks. - April 20th 2013, 08:11 AMemakarovRe: Natural Logarithm: find the point on the curve
- April 20th 2013, 08:18 AMPlatoRe: Natural Logarithm: find the point on the curve
- April 20th 2013, 10:52 AMhollywoodRe: Natural Logarithm: find the point on the curve
Whatever the function, you need to take the derivative and set it equal to 2e.

- Hollywood - April 21st 2013, 06:06 AMonehundredpercenteffortRe: Natural Logarithm: find the point on the curve
i understand that i have to find the derivative which was y'=2e^2x+1 and since the tangent is parallel, the slopes will be the same. But how can i find the point??

- April 21st 2013, 06:23 AMPlatoRe: Natural Logarithm: find the point on the curve
- April 21st 2013, 07:28 AMhollywoodRe: Natural Logarithm: find the point on the curve
You set y' = 2e^(2x+1) = 2e and solve for x. The slope of the other curve, y=2ex, is 2e. So x=0, right?

All three of us were confused about what the function was; you really should have cleared that up in addition to asking for clarification.

- Hollywood