Given f(x) = 7(e^2x) * (sin(3x)), find f'(x)

f(x) = 7e2x sin(3x) Chain rule: f(x) = uv → f'(x) = u'v + uv' u = 7e2x u' = 14e2x v = sin(3x) v' = 3cos(3x) f'(x) = 14e2xsin(3x) + 7e2x 3cos(3x) f'(x) = 7e2x ( 2 sin (3x) + 3 cos (3x) )

CK
Answered by Chris K. Maths tutor

3542 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How do I check if events are independent (in statistics / probability)?


What is the best way to prove trig identities?


Is the trapezium rule an exact method of integration?


Find dy/dx for f(x)=3x^2 +5x


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