Find the stationary point of the graph of y = 2x + 5 + 27x^(-2)
y = 2x + 5 + 27x-2To find a stationary point, find the gradient function by differentiating with respect to x:y' = 2 -54x-3To find a stationary point, let the gradient function equal zero:2- 54x-3 = 02 = 54x-31/27=x-327=x3x = 3Let x = 3 in the graph function:y = 2x3 + 5 +27 x 1/9y=14Therefore, the stationary point is (3,14).
HH
Related Maths A Level answers
All answers ▸Given that (2x-1) : (x-4) = (16x+1) : (2x-1), find the possible values of x
Prove that 8 times any triangle number is always 1 less than a square number
What marks do I need to achieve an A* grade in A-level Maths?
Find, in radians, the general solution of the equation cos(3x) = 0.5giving your answer in terms of pi