June 2008 C1 Paper Differentiation Question

a) ask student: purpose of differentiation (i), how to perform differentiation (ii) (i) to find the gradient of a curve (ii) multiply the coefficient of x by its indice then minus one from the indici perform this calculation to get dy/dx = 3kx^2 - 2x + 1 b) three steps: 1st: find dy/dx of C at A in terms of k: dy/dx = 3/4k + 2 2nd: find dy/dx of the new equation: dy/dx = 7/2 3rd:  equate the two equations: 3/4k + 2 = 7/2    ->    k = 2 c) now we know k, we can insert k and x-coordinate at A back into original equation to find y value y = -6

NG
Answered by Nicola G. Maths tutor

2954 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

The curve C has equation y = 3x^4 – 8x^3 – 3 Find (i) dy/dx (ii) the co-ordinates of the stationary point(s)


If 1/(x(a-x)) is equivalent to B(1/x + 1/(a-x)), Express 'B' in terms of 'a'


Find the inverse of the matrix C=(1,2;4,9)


Differentiate 5x^2+5y^2-6xy=13 to find dy/dx


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences