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

3523 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Differentiate the following with respect to x: e^(10x) + ln(6x+2)


A circle A has equation x^2+y^2-6x-14y+54=0. Find a) the coordinates of the centre of A, b) the radius of the circle A.


If y^3 = 8.08, approximate y.


How do you differentiate a^x?


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