Find the location and nature of the turning point of the line y=-x^2+3x+2

Location is placed where the gradient is 0.Differentiate the line to get dy/dx = -2x + 3 and set it equal to zero.2x = 3 therefore x = 1.5.Plug back into the line equation to find the coordinate. y = -(1.5)2 + 3(1.5) +2 = 4.25. Nature of turning point is determined by the second derivative. d2y/dx2 = -2. -2 < 0 therefore turning point is a maxima.
Final answer : location is (1.5,4.25) and it is a maxima.

Answered by Euan R. Maths tutor

3386 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

The polynomial p(x) is, p(x)= x3-5x2-8x+48.Use the Factor Theorem to show that (x + 3)is a factor of p(X)


How do I work out (2+y)^4 using the binomial expansion?


Use the substitution u=1+e^x to find the Integral of e^(3x) / (1 + e^x)


Find the integral of (3x^2+4x^5-7)dx


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences