Now i got tired of this......
1st, The value of the derivative at any point of a curve is the slope of the tangent in such point.
Now given that, obtain the slope of the curve expressed by x^y = x^y, when x=5
2nd part, if we have the movement in time of a particle described by a formula, the first derivative will be the speed, and the second will be the acceleration.
Obtain the speed when the time x=5 of the particle whose movement is described by x^y=y^x
Getting rid of all the ys is not "explicitly mandatory" in calculus, however, if you don't need to get rid of the y in order to obtain the value of y' when x=5 (both problems), then whoever told me that it is not needed to get rid of all the ys is indeed a moron.