00:01
Hello, here we have a given that is y is equal to e to the power minus of 2x to the power 2 that is x square.
00:08
Now here we have to find the y double dash.
00:10
So for this differentiating this function with respect to x we have y dash is equal to dy divided by dx.
00:18
So that is equal to this can be written as d divided by dx of the given function that is e to the power minus of 2 x square.
00:27
Now using the chain rule so here we can write it as that is y dash is equal to differentiation of e to the power x is equal to e to the power x.
00:36
So we have a constant minus 2.
00:38
So we have minus 2 multiplied by e to the power minus of 2 x square multiplied by differentiation of that is g divided by dx of x square.
00:48
Now here we can get it as differentiation of x square by using the differentiation formula as that is d divided by dx x to the power n is equal to that is n x to the power n minus 1.
01:03
Now from here we can get it as that is differentiation of this that is y dash is equal to minus 2.
01:10
So we have minus 2 e to the power minus 2 x square multiplied by differentiation of x square that is 2x.
01:17
So now from here we can write it as y dash is equal to minus of 4 e to the power minus of 2 x square multiplied by x...