Differentiate the following: 5x^3 + 4x^2 + 3x + 2

dy/dx = 15x^2 + 8x + 3

Differentiation was often a question my peers struggled with at gcse and although not necessairly a dominating topic of the syllabus, I found it is an easy way to pick up marks if understood properly. 

To arrive at the answer, there are 4 steps: 1) multiply the 5 by the indicie (3) and then subtract one from the indicie. 2) Same principle, multiply the 4 by 2, then subtract one from the 2. 3) As there is no indicie, just take the figure in front of the x. 4) as there is no x term, we remove it altogether.

CG
Answered by Callum G. Maths tutor

2927 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

The second term of an arithmetic sequence is 7. The sum of the first four terms of the arithmetic sequence is 12. Find the first term, a, and the common difference, d, of the sequence.


3x + y = -4; 3x -4y = 6; Solve the simultaneous equations for x and y


Express x*2 + 10x - 3 in the form (x+p)*2 + q


Solve the simultaneous equations 3x + 2y = 4, 4x + 5y = 17


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