00:01
Hi, there is a question to say that find an equation of the line that is tangent to the graph of f and parallel to the given line.
00:08
So, fx equal to x cube is the given graph and 12x minus y plus 6 equal to 0 is the given line.
00:18
So, i need to find equation of the line that is tangent to the graph and parallel to the given line.
00:23
So, if tangent to this graph is parallel to this line, so slope of tangent of this graph must be equal to slope of tangent of this line.
00:32
So, let us just write this line in form of y equal to mx plus c.
00:42
So, this will become 12x plus 6.
00:44
If you compare with y equal to mx plus c, slope of this line is 12.
00:50
Now, this slope must be equal to, i need to find, okay, must be equal to slope of this.
00:58
So, f prime x, slope of tangent on this line is 3x square.
01:05
So, 3x square is 12, x square is 4.
01:09
So, x is plus minus 2...