Differentiate: y = 4x^3 - 5/x^2

To make this equation easier to differentiate it would be easier to write it using index rules as y = 4x^3 - 5x^-2 From here we can begin to differentiate: dy/dx = 3*4x^(3-1) - (-2)*5x^(-2-1) Then finally simplify the equation above to give: dy/dx = 12x^2 +10x^-3

CB
Answered by Chris B. Maths tutor

7896 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

The curve has the equation y= (x^3)/(2x-1). Find dy/dx.


The sum of the first K natural numbers is 300. Find the value of K.


Where does integration by parts come from?


Given that Y=(x+3)(x+5); 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