Given that y=((3x+1)^2)*cos(3x), find dy/dx.

As why is in the for y=uv where u and v are funtions of x, dy/dx=u'v+v'u (where ' implies the derivative) u=(3x+1)2, v=cos(3x) therefore using the chain rule u'=23(3x+1)=18x+6 and v'=-3sin(3x). Using this, dy/dy=(18x+6)*cos(3x)-3(3x+1)2*sin(3x)

Answered by William R. Maths tutor

2527 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Prove that cos(4x) = 8(cos^4(x))-8(cos^2(x)) + 1


Prove that f(x) the inverse function of g(x) where f(x)= - 3x–6 and g(x)= - x/3–2


Integrate cos(4x)+16x^3 with respect to x


Find the turning value of the following function, stating whether the value is min or max, y = x^2 -6x + 5


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 2013–2024

Terms & Conditions|Privacy Policy