00:02
In this question, find the value of a and b, we are given the line negative 5x plus y is equals to b, that is tangent to the curve.
00:21
Y is equals to ax cube, comma, when x is equals to 4.
00:28
So this is the given.
00:30
So first let us find the slope of the line.
00:32
So we have line negative 5x plus y is equals to b.
00:39
So differentiating both sides with respect to x, we have dy over dx is equal to negative 5.
00:49
So let us keep this as equation 1.
00:52
So it is given that the parabola, y is equals to a x club is tangent to the given line.
01:00
So again differentiating this with respect to x we get dy over d x is equal to 3a x squared.
01:11
So we are given the point x is equal to 4...