Give the first and second derivative of the function f(x) = 5/x - 9x + 4

  1. Re-write f(x) as f(x) = 5x^(-1) - 9x + 42) Find first derivative as usual - multiply each term by it's power and subtract 1 from the power:f'(x) = (-1)(5x^(-2)) - (1)(9)Simplify to get f'(x) = -5/x^(2) - 9Find second derivative using the same method:f'(x) = -5x^(-2) - 9f''(x) = (-2)(-5x^(-3))f''(x) = 10/x^(3)
HB
Answered by Harvey B. Maths tutor

2643 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Solve the quadratic inequality: x^2 - 5x + 4 < 0


2(x^2)y + 2x + 4y – cos (PI*y) = 17. Find dy/dx using implicit differentiation.


What is the angle between the position vectors a and b, where a = (6i - j + 3k) and b = (-4i + 2j + 10k)?


Calculate the integral of e^x*sin x


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