Equations without stationary points

Given y = 4/√(2x-3), x > 1.5 (a)Find dy/dx (b)Explain why the graph of y = 4/√(2x – 3) does not have a stationary point (c)State whether y = 4√(2x – 3) is an increasing or decreasing function. Explain your answer clearly. y = 4(2x – 3)-1/2 dy/dx = -2(2x – 3)-3/2(2)            = -4(2x […]

Maximum/Minimum gradient of a curve

Find the minimum gradient of the curve y = 2×3 – 9×2 + 5x + 3 and the value of x when the minimum gradient occurs. y = 2×3 – 9×2 + 5x + 3 gradient, m = 6×2 – 18x + 5 dm/dx = 12x – 18 minimum gradient, dm/dx = 0 12x – […]

Maximum point and minimum point 1

A curve with equation in the form of y = ax + b/x  y = ax + b/x2 has a stationary point at (3 , 4), where a and b are constants. Find the value of a and of b. X = 3     y = 4 4 = 3a + b/a —–(1) Y = ax […]