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

3408 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

f(x) = x^3 - 13x^2 + 55x - 75 , find the gradient of the tangent at x=3


Integrate 1/(1 - 3*x) with respect to x


Express 1/(x(1-3x)) in partial fractions.


Let f(x) = x * sin(2x). Find the area beneath the graph of y = f(x), bounded by the x-axis, the y-axis and the line x = π/2.


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