00:01
Hi, today we are solving the question in which given that let y is equal to x square plus one whole raise to the power 5.
00:10
So here if we take the differential of y with respect to x.
00:16
So here, d .y by d x is given by equal to d by d x of x square plus one whole raise to the power 5.
00:26
Now on taking the derivative, we get d .y by dx is equals to 10x into x square plus one whole raise to the power four.
00:41
Now from here, given that, firstly, x is equals to 5 and dx is equals to 0 .1.
00:53
So we need to find the differential d .y.
00:58
So here from let us consider this as equation first.
01:02
So from equation first, dy will be equal to 10x into x square plus 1 whole raise to the power 4 into dx.
01:13
Now substituting the value of x and dx.
01:16
So here dy will be equal to 10 into 5 5 square.
01:24
Plus 1 raised to the power hole 4 into 0 .1.
01:30
On solving it, we get it equals to dy as equals to 59406 880 880...