y = 4x^3 - 5/x^2 Find dy/dx

y = 4x^3 - 5/x^2 Easier to differentiate the 2nd term if it isn't written as a fraction so first rewrite y: y = 4x^3 - 5x^(-2) Then differentiate each term by multiplying each term by the current power of x and then decreasing the power of x by 1 to get dy/dx = (4)(3)x^2 + (-5)(-2)x^(-3) = 12x^2 + 10x^(-3)

NC
Answered by Nisha C. Maths tutor

9535 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find all solutions of the equation in the interval [0, 2π]. 5 cos^3 x = 5 cos x


What is integration by parts?


If we have a vector 4x + 6y + z and another vector 3x +11y + 2z then what is the angle between the two?Give the answer in radians


How can do you factorize the equation x^2+6x+8


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