00:01
Of this problem, first we have to understand the chain rule of the differentiation.
00:04
Suppose we have to compute a derivative of function of x with respect to t.
00:11
So first we have to compute the derivative of f of x with respect to x, then multiply dx by d t.
00:20
Another rule is the product rule of differentiation.
00:23
Suppose we have to compute the derivative of the product of two functions, u and v.
00:29
Then u into derivative of v with respect to x plus b into the derivative of v with respect to x.
00:38
Applying this formula will solve the problem.
00:42
Here we have a given as a function of t where s is the particle displacement and t is a time.
00:55
We will compute the derivative of s with respect to t.
00:59
So take the derivative of given equation with respect to as you know, derivative of s square is 2 into 2 s into d.
01:14
Here we have a right, we have to write d s by dt because here is a function of s, if we are taking the derivative with respect to t, then we have to apply the channel.
01:26
We are taking the derivative using the power formula of the derivative.
01:31
As you know, the power formula of the derivative is d by d.
01:35
X, power of xx power n.
01:37
So we can write n into the power of x is n minus 1.
01:44
Now as you know, the derivative of root x is 1 by 2 into root x...