Find the derivative of the curve e^(xy) = sin(y)

First we have to identify that implicit differentiation is used to solve this question. We can differentiate the first the LHS first, by using the chain rule, we know that the differentiation of e^(xy) is e^(xy) times the differentiation of (xy). This becomes (y + xy') by using implicit differentiation. Sin(y) differentiates into y'cos(y). Rearranging the equation to get y' as the subject gives you (ye^(xy))/((cos(y)+xe^(xy))

Answered by Gouri G. Maths tutor

7172 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

If the quadratic equation kx^2+kx+1=0 has no real roots, what values of k are possible?


Show that 2(1-cos(x)) = 3sin^2(x) can be written as 3cos^2(x)-2cos(x)-1=0.


Can you please explain how to expand two brackets, eg. (3x-7)(5x+6)


i) Simplify (2 * sqrt(7))^2 ii) Find the value of ((2 * sqrt(7))^2 + 8)/(3 + sqrt(7)) in the form m + n * sqrt(7) where n and m are integers.


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