Given x=t³-3t and y=3t², find the value of dy/dx at t=√2

The value of    at t = √2 is   .

Step-by-step explanation:

Given as :

x = t³ - 3 t

y = 3 t²

We have to calculate at t = √2

Now,

=  

Or, = - 3

Or, = 3 t² - 3        ......A

Again

=  

Or, = 3 × 2 t

Or, = 6 t           ......B

So,

=

Or, =

Or,   =

Or,   =

Or,    at t = √2

i.e   =

Or, =

Or, =

Hence, The value of    at t = √2 is   . Answer

you need to show the graph

step-by-step explanation: