Question

If x=at³and y =bt²,find dy÷dx ​

Answer 1

hey mate,

here is your answer

x=at^3

dx=3at^2

y=bt^2

dy=2bt

dy/dx=2bt/3at^2

=2b/3at

hope it helps you

Answer 2

Answer:

dy\dx = 2b\3at

Explanation:

Consider,

        x = at^3

 Differentiate with respect to 't' on both sides,

              dx\dt = 3at^2

 Now,

        y = bt^2

 Differentiate with respect to 't' on both sides,

               dy\dt = 2bt

For,  

         dy\dx =  dy\dt divided by dx\dt

                    =  2bt \ 3at^2

                     =  2b \ 3at

Here for differentiating we use the formulae,  d\dx x^n = nx^n-1

Hope..You have got the answer