IB Maths SL, Tangent line

Algebra, Functions and equations, Circular functions and trigonometry, Vectors, Statistics and probability, Calculus. IB Maths SL Revision Notes

IB Maths SL, Tangent line

Postby Oliver » Wed Mar 20, 2013 7:55 pm

IB Mathematics SL – Derivatives, Differentiation, Equations of Tangent and Normals


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


Thanks
Oliver
 
Posts: 0
Joined: Mon Jan 28, 2013 8:08 pm

Re: IB Maths SL, Tangent line

Postby miranda » Wed Mar 20, 2013 8:00 pm

IB Mathematics SL – Derivatives, Differentiation, Tangent and Normals


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!! :) :)
miranda
 
Posts: 268
Joined: Mon Jan 28, 2013 8:03 pm

Re: IB Maths SL, Tangent line

Postby Oliver » Wed Mar 20, 2013 8:01 pm

thanks miranda!!
Oliver
 
Posts: 0
Joined: Mon Jan 28, 2013 8:08 pm


Return to ib mathematics SL