H2 Math Tuition by Achevas | Differentiation #alevel #singaporemath

Added: 2026-05-06

[00:00:00]Let's take a look at a question on application of differentiation. We are given a curve C as a pair of parametric equation given to be X equal to T plus E to the power T and Y equal to 3T plus E to the power minus T. Part A, find the exact coordinates of the stationary point of the curve of C.

[00:00:20]When question gave us a parametric equation for a curve, usually we try not to convert it into a Cartesian equation unless the question specifically want us to do so. So, for this question, we are going to continue to work with this pair of parametric equation.

[00:00:39]X equal to T plus E to the power T and Y equal to 3T plus E to the power minus T.

[00:00:48]To find the stationary point, we are going to find what is our dy dx. So, the first thing we're going to do is let's try to find what is dx over dt.