Differentiate the following... f(x)= 5x^4 +16x^2+ 4x + 5

The rule for differentiating a simple equation such as this is, to times the coefficient by the power and the take one away from the power. Therefore, lets look at 5x^4 you would times the 5 by 4 to get 20x^4 and then you would take away one from the power so that it would be 20x^3. Follow this rule for 16x^2 to get 32x and then the 4x, when differentiated would just equal 4. The 5 would disappear when differentiating because you are differentiating the equation in terms of x and there is no x attached to the 5. So, the final answer would be f'(x)= 20x^3 + 32x +4

CM
Answered by Celia M. Maths tutor

3256 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the indefinite integral ∫(x^2)*(e^x) dx (Edexcel C4 June 2013 Question 1)


how to find flight time/distance and greatest hight of projectiles?


express (3x + 5)/(x^2 + 2x - 15) - 2/(x - 3) as a single fraction its simplest form


Differentiate e^(xsinx)


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences