How would you differentiate the term 3x^3-2x^2+x-10

With differentiation we should always begin with the "times by the power and take one from the power" rule. For example, to differentiate ax^b --> (a x b)x^(b-1)

So, to differentiate this expression we follow the step. 

It can also be written as; 3x³-2x²+1x¹-10

(3 x 3)x^(3-1) - (2 x 2)x^(2-1) + (1 x 1)x^(1-1) - (10 x 0) = 9x²-4x¹+1

Since there is no x term in the final term (-10) this just differentiates to zero always.