Given that y = 5x^(3) + 7x + 3, find dy/dx

(i): 15x^(2)+7 --- in order to arrive at this answer, we can divide the equation into 3 separate parts: 5x^(3) and 7x and 3. For the first part, you would multiply the first number, 5 by the power, in this case, 3, leaving us with 15. Then, you have to decrease the power by 2, leaving us with 15x^(2).

For the second part, the power is actually 1, so 7x^(1). The same process is used, multiply 7 by 1, leaving us with 7. Decrease the power by 1, leaving us with 0. Anything multiplied to the power of 0, is 1. 7x1=7.

AP
Answered by Angela P. Maths tutor

6935 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

What is an improper fraction, and how to I make thisproper so that it can be differentiated?


What is greater e^pi or pi^e?


(19x - 2)/((5 - x)(1 + 6x)) can be expressed as A/(5-x) + B/(1+6x) where A and B are integers. Find A and B


The curve C is paramterised by the equations: x = 5t + 3 ; y = 2 / t ; t > 0 Find y in terms of x and hence find dy/dx


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