Question

solve

Answer 1

The slope of tangent is the first derivative of the given eqaution. So, the slope is \[3x ^{2}\]. It is given that slope is equal to y coordinate. Then \[3x ^{2}=x ^{3}\]

Answer 2

From the equation we have, \[3x ^{2}-x ^{3}=0\]

Answer 3

Taking x^2 common, we are left with \[x ^{2}\left(3-x \right)=0\]

Answer 4

So from this we get x= 0 and 3

Answer 5

thus, x= 0 and x= 3 are the points which I have to calculate

Answer 6

Yes