 Hello everyone, how are you all today? My name is Priyanka and let us discuss the question It says find the slope of the tangent to the curve y is equal to x minus 1 upon x minus 2 Where x is not equal to 2 at x is equal to 10 now. Let's proceed with the solution Now here we are given y is equal to x minus 1 upon x minus 2. We need to differentiate by with respect to x using Caution rule and on doing so we have dy by dx is equal to denominator Into derivative of the numerator minus numerator into derivative of the denominator upon denominator whole square Now on simplifying it we have x minus 2 minus x plus 2 upon x minus 2 the whole square further we have Minus 1 upon x minus 2 the whole square as dy by dx now to find out the slope at x is equal to 10 we have to find out the value of dy by dx at x is equal to 10 and We have minus 1 upon 10 minus 2 the whole square Solving it. We have minus 1 upon 8 the whole square Which is further equal to minus 1 upon 64 4 so the slope the required slope here is minus 1 upon 64 This is the required answer to the session. Hope you understood it well and have a nice day