00:01
So the question corresponds to application of derivative, the function is q equals to 6x squared plus 3y square.
00:11
Now there is a relation between x and y given as x plus y equals to 9.
00:17
From here, isolate the value of y, y equals to 9 minus x.
00:23
Substitivity value of y in the function q, q equals to 6 x squared plus 6 x squared plus 3 times 9 minus x whole square.
00:35
Now simplify the expression 2 equals to 6x square plus 3 times 81 minus 18 x plus x square.
00:49
This can be further simplified as q equals to 9x square minus 54 x plus 243.
01:01
Now since this is the polynomial function, so the interval over which the function can be defined is minus infinity to infinity.
01:13
Now compute the derivative of the function that is dq by d x.
01:18
Dq by dx the value obtained is 18x minus 54.
01:26
This is equals to 18 times x minus 3...