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

9497 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Given that y= x/(2x+5), find dy/dx


Integrate sin7xcos3x


The probability function of a discrete random variable X is given by p(x)=x^2 x =1,2,3. Find E(X)


Sketch the graph of y=3sin(2x +pi/2)


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