Let y be a function of x such that y=x^3 + (3/2)x^2-6x and y = f(x) . Find the coordinates of the stationary points .

y = x3 + 1.5x-6x Hence, dy/dx = 3x2 + 3x - 6 Solve to find x when dy/dx = 0 as gradient is zero at stationary points Substitute the vaules for x back into y to find y coordinates of the stationary points. Then write out the coordinates as a final answer like so, (1,-7/2) and (-2,10)

MC

Related Maths A Level answers

All answers ▸

y = Sin(2x)Cos(x). Find dy/dx.


Why do we need the constant of integration?


Find the stationary points of the equation. f(x)=3x^2+4x.


Find the values of the constants a and b for which ax + b is a particular integral of the differential equation 2y' + 5y = 10x. Hence find the general solution of 2y' + 5y = 10x .