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

10181 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

If the hypotenuse of a triangle is 7cm and another side is 4cm, what's the length of the other side? How can I work this out?


How do you expand brackets?


Solve algebraically the simultaneous equations (x^2) + (y^2) =25 and y - 3x = 13 (5 Marks).


How do I find the nth term of a sequence?


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
Cookie Preferences