Solved Example Problems for Differential Calculus
Consider the function y = x 2 . Calculate the derivative dy/dx using the concept of limit.
Let us take two points given by
These results are tabulated as shown below:
From the above table, the following inferences can be made.
Find the derivative with respect to t, of the function x= A0 + A1t + A2 t2 where A0, A1 and A2 are constants.
Note that here the independent variable is ‘t’ and the dependent variable is ‘x’
The requived derivative is dx/dt = 0+ A1+2A2t
The second derivative is d2x/d2t = 2A2