Given that y = (3x^4 + x)^5, find dy/dx using the chain rule.

Let u = 3x4 + x
du/dx = 12x3 + 1
y = u5
dy/du = 5u4
Using the chain rule, dy/dx = dy/du x du/dx
= 5u4 (12x3 + 1)
dy/dx = 5(3x4 + x)(12x3 +1)

Related Maths A Level answers

All answers ▸

solve the following definite integral by decomposition into partial fractions: \int_{1}^{2}{\frac{1}{x^2+x}}dx


How would I prepare for my Maths exams so that I get the best grade possible?


Differentiate and find the stationary point of the equation y = 7x^2 - 2x - 1.


Find the equation of the normal to the curve 2x^3+3xy+2/y=0 at the point (1,-1)


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