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

3203 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

A curve has equation y = 7 - 2x^5. a) Find dy/dx. b) Find an equation for the tangent to the curve at the point where x=1.


A circle with centre C(2, 3) passes through the point A(-4,-5). (a) Find the equation of the circle in the form (x-a)^2 + (y-b)^2=k


Integrate ln(x/7) with respect to x


Express 3sin(2x) + 5cos(2x) in the form Rsin(2x+a), R>0 0<a<pi/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:

© 2025 by IXL Learning