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
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