Given that y = x^4 + x^(1/3) + 3, find dy/dx

We use the rule that if y = x^n then dy/dx = n*x^(n-1) which is valid whether or not n is an integer. 

We also use that differentiation is a linear operation, which means that we can differentiate term by term in the expression for y.

Noting that 3 = 3*x^0, we therefore have

dy/dx = 4*x^3 + (1/3)*x^(-2/3) + 0

Answered by Karan S. Maths tutor

11595 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

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


Find the exact solution to: ln(x) + ln(7) = ln(21)


Find the values of y such that log2(11y-3)-log2(3)-2log2(​y) = 1


Prove that (root)2 is irrational


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