IB Maths HL, Equation of Tangent

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


The answer is here


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IB Mathematics HL – 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 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