Finding the derivative of a polynomial.

Take any polynomial, eg/ y=x3+1/2x2-3x+9. Then dy/dx=3x,+x-3, in this case. This is because, when deriving in this sense, you take each term in x, multiply it by its index, and reduce that index by 1.

In a general sense, for y=(n0)xn+(n1)xn-1+...+(nn-1)xn-(n-1)+(nn),             dy/dx=(n)(n0)xn-1+(n-1)(n1)xn-2+...+(n-(n-1))(nn-1). Multiply the x term by the power, reduce the power by one. This works for all powers, even non-integers.

YP
Answered by Yaniv P. Further Mathematics tutor

5120 Views

See similar Further Mathematics GCSE tutors

Related Further Mathematics GCSE answers

All answers ▸

How would I solve the following equation d^2x/dt^2 + 5dx/dt + 6x = 0


What is the range of solutions for the inequality 2(3x+1) > 3-4x?


Differentiate y = x*cos(2x)


y=(6x^9 +x^8)/(2x^4), work out the value of d^2y/dx^2 when x=0.5


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