How to do the following question?

How to find: given #A = x sqrt(100  x^2)# and #dx/dt# = 0.3, the valuue of #(dA)/dt# when x = 8 is?

A particle is moving along a curve with equation #y=x^2# . If #dx/dt = 2# at #x = 3# , find #dy/dt# at that instant.

How to find: given
#A = x sqrt(100  x^2)# and#dx/dt# = 0.3, the valuue of#(dA)/dt# when x = 8 is? 
A particle is moving along a curve with equation
#y=x^2# . If#dx/dt = 2# at#x = 3# , find#dy/dt# at that instant.
1 Answer
Jul 6, 2018
Take into account that
So, there is a functional relationship between x and t. In this case is linear
1) Then
2) By the same reason above,