IB Maths Studies Equation of Tangent

[hill]

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

How can we find the equation of the tangent to the curve at the point .


Thanks

[elizabeth]

IB Mathematical Studies SL – Calculus, 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 () at the point is



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



where in your case



and finally the equation of the tangent is




Hope these help!!

[hill]

Thanks Elisabeth!!