How would you derive y = function of x; for example: y = 3x^3 + x^2 + x

The best way to remember derivatives is to use algebra, and the general function is y = axn -> dy/dx = anxn-1

So for this equation dy/dx = (3x3)x3-1 + (2x1)x2-1 + 1x1-1

So the answer would be dy/dx = 9x+ 2x + 1

The last one may be confusing but as the power is 0, you remove the x and it becomes a whole number, in this case 1.

GA
Answered by George A. Maths tutor

2818 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How can I find the correct list of solutions whilst solving a trigonometry equation?


differentiate with respect to x : y = x^2 -5x


Integrate 2x/[(x+1)(2x-4)


Solve the equation 3^(5x-2)=4^(6-x), and show that the solution can be written in the form log10(a)/log10(b).


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