Find the derivative of A^4 + 2A^2 - 3A + 4

Ask if they have found derivations before.If not:When we differentiate a polynomial like this by using the fact that:The derivative of A^x is xA^(x-1).So, we multiply the unknown variable, A, by the power and minus one from the power.
Also, we can differentiate each one of these terms seperately as there is a addition between them all.We use the fact that:D(x + y)/Dz is the same as Dx/Dz + Dy/Dz
So our answer would be:4A^(4-1) + 2(2A^(2-1)) - 3 = 4A^3 + 4A -3. And is also the gradient of our graph.

JM
Answered by Jake M. Maths tutor

3344 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Given the intensity of A-Level studies, what is the best way one can go about ensuring all tasks are completed in time?


5Sin[x]-4=2Cos[2x]


Integrate | x^7 (ln x)^2 dx ( | used in place of sigma throughout question)


How do you calculate the angle between two vectors?


We're here to help

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

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning