A curve has equation y = 2x^5 + 5x^4 1 . (a) Find: (i) dy/ dx [2 marks] (ii) d^2y/ dx^2 (b) The point on the curve where x ¼ 1 is P. (i) Determine whether y is increasing or decreasing at P, giving a reason for your answer.

a.) dy/dx+10x^4+20x^3

d^2y/dx^2=40x^3+60x^2

b.)sub in x=-1 to dy/dx=10(-1)^4+20(-1)^3

=-10

therefore, decreasing

Answered by Alexandra F. Maths tutor

8740 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

A small stone is projected vertically upwards from a point O with a speed of 19.6m/s. Modelling the stone as a particle moving freely under gravity, find the length of time for which the stone is more than 14.7 m above O


Find the gradient of a curve whose parametric equations are x=t^2/2+1 and y=t/4-1 when t=2


A particle, P, moves along the x-axis. At time t seconds, t > 0, the displacement, is given by x=1/2t^2(t ^2−2t+1).


Find the area beneath the curve with equation f(x) = 3x^2 - 2x + 2 when a = 0 and b = 2


We're here to help

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