Differentiate y = x^3− 5x^2 + 3x

the rule for differentiating in terms of x is to multiply by the power then decrease the power by one. So going through the equation x^3 will be multiplied by 3 and go to x^2 so will be 3x^2. Then its important to remember the signs of the terms so the next term is -5x^2 not 5x^2. this will be multiplied by 2 and the variable will go to x to give -10x. the same will happen to the last term to give 3 so the final equation is dy/dx=3x^2-10x+3.

GD
Answered by Georgia D. Maths tutor

6848 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Integrate the following fraction w.r.t. x: (sqrt(x^2 + 1)-sqrt(x^2 - 1))/(sqrt(x^4 - 1))


A circle has equation: (x - 2)^2 + (y - 2)^2 = 16. It intersects the y-axis (y > 0) at point P and the x-axis (x < 0) at point Q. Find the equation of the line connecting P and Q and of the line perpendicular to PQ passing through the circle's centre.


What is 'completing the square' and how can I use it to find the minimum point of a quadratic curve?


Calculate the binomial expansion of (2x+6)^5 up to x^3 where x is decreasing.


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