Differentiate: tan(2x) cos(x)

  1. Explain the product rule: d/dx ( f(x) . g(x) ) = f'(x).g(x) = g'(x) . f (x)
    2. Briefly run through trigonometric derivatives.* cos (x) differentiates to: -sin(x)* tan (x) differentiates to: sec^2 (x)
    3. Briefly run through the chain rule.* tan (2x) differentiates to: 2 sec^2 (2x)
    4. Bring everything together to get the two terms for the answer
    * First term of the solution is: [ 2 sec^2 (2x) . cos (x) ]* Second term of the solution is: [ - sin (x) . tan (2x) ]
    * Final Solution is: [ 2 sec^2 (2x) . cos (x) ] + [ - sin (x) . tan (2x) ]
Answered by Shreyasi D. Maths tutor

5280 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Integrate 3x^2 + 4/3 x^5 with respect to x


Find the stationary points of the curve given by the following function: f(x) = x^2 + 5x + 2


integrate by parts ln(x)/x^3


How do you find the angle between two lines in three dimensional vector space given two points on line 1 and the vector equation of line 2


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 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences