IB Math Studies Tangent line

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IB Math Studies Tangent line

Postby hill » Mon Apr 15, 2013 7:24 pm

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
hill
 
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Re: IB Math Studies Tangent line

Postby elizabeth » Mon Apr 15, 2013 7:35 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!!
elizabeth
 
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Re: IB Math Studies Tangent line

Postby hill » Mon Apr 15, 2013 7:44 pm

Thanks Elisabeth!!
hill
 
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