Question

Find the differential dy in each of the followings:
y = 2t² +t+1

Answer 1

4t + 1.

Explanation:

Use the General form of the differential:

If y = ax^n,

dy/dx = anx^(n-1)

So:-

y = 2t^2 + t + 1

dy.dt = 2*2t^(2-1) + t^(1-1) + 0

= 4t + 1.