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IB Mathematical Studies SL – Derivatives, Differentiation, Tangent Line

How can we find the equation of the tangent to the curve that is parallel to the line with equation .

Thanks

How can we find the equation of the tangent to the curve that is parallel to the line with equation .

Thanks

- hill
**Posts:**0**Joined:**Tue Mar 19, 2013 8:49 pm

IB Mathematical Studies SL – Derivatives, Differentiation, Equation of Tangent

We know that the gradient of a curve at any point is equal to the gradient of the tangent () to the curve at that point.

So about your question we have that

and the gradient of the tangent must be equal to since is parallel to the line

and the equation of the tangent is given by the following formula

where in this case

and finally the equation of the tangent is

Hope these help!!

We know that the gradient of a curve at any point is equal to the gradient of the tangent () to the curve at that point.

So about your question we have that

and the gradient of the tangent must be equal to since is parallel to the line

and the equation of the tangent is given by the following formula

where in this case

and finally the equation of the tangent is

Hope these help!!

- elizabeth
**Posts:**0**Joined:**Mon Jan 28, 2013 8:09 pm

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