Given y=x^3+5x+3 find dy/dx when x=3

The question can be broken into two steps, 

1) dy/dx is asking to differentiate y=x3+5x+3 with respect to x

Differentiating we multiply by the current power and lower this powers value by 1. ( Constants differentiate to nothing )

i.e  x3 goes to 3x2

dy/dx=  3x2+5

2) Next we need to find the value of dy/dx when x=3 done simply by substituting all x's in the equation by 3

dy/dx=  3*(3)+ 5 = 32

Answered by Robert L. Maths tutor

10696 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Work out the area of this triangle given the lengths of 1 sides (a) and 2 angles (A and B) using either the sine rule


Solve the simultaneous equations: 2x+2y = 10 and 7x + 4y = 26


Solve these simultaneous equations: 2x + 5y = 37 and y = 11 - 2x


How do i answer a problem solving question if I don't know where to start?


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