Find the points on the curve 4x3 - 3x + 5 at which the equation of the tangent is parallel to the x-axis.
y = 4x3 - 3x + 5 ...(i)
Given that lines is parallel to x-axis.
Thus, 12x2 - 3 = 0
12x2 = 3
x2 =
Put in equation (i)
x = then,
when x = , we get
The population of a town grows at the rate of 10% per year. Using differential equation, find how long will it take for the population to grow 4 times.