(i) Find the coordinates of the stationary point on the curve y = 3x^2 − 6/x − 2. [5] (ii) Determine whether the stationary point is a maximum point or a minimum point.
i) dy/dx = 0dy/dx = 6x + 6/x^2 6x + 6/x^2 = 06x^3 + 6 = 0x^3 + 1 = 0x^3 = -1x = -1y = 7(-1, 7)ii) d^2y/dx^2 = 6 - 12/x^3 x = -1 6-12/(-1)^3 = 18>0 therefore, minimum point
DY
Related Maths A Level answers
All answers ▸You have a five-litres jug, a three-litres jug, and unlimited supply of water. How would you come up with exactly four litres of water (with no measuring cup)?
Find, using calculus, the x coordinate of the turning point of the curve with equation y=e^3x cos 4
How do I find the co-ordinates and nature of the stationary points on a curve?
Show that, for all a, b and c, a^log_b (c) = c^log_b (a).