Find dy/dx when y = x^2(cos(x)).

y = x2(cos(x)) therefore we will need to use the product rule, 

dy/dx = u dv/dx + v du/dx

where u = x2 and v = cos(x)

du/dx = 2x and dv/dx = - sin(x), (don't forget the negative symbol when differentiating cosine)

dy/dx = x2(- sin(x)) + cos(x)(2x)

dy/dx = 2x(cos(x)) - x2(sin(x))

JS
Answered by Joseff S. Maths tutor

30094 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Write sqrt(50) in the form Asqrt(50) where A is an integer


How do I differentiate y=x^x?


Find f(x^(1/2)+4)dx (Where f is the integral sign)


y(x) = x^2(1-x)e^-2x , find y'(x) in the form of g(x)e^-2x where g(x) is a cubic function to be found


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