Question

How do you differentiate `f(x)=(x-2)^3+x` using the sum rule?

Answer 1

`3(x-3)^2 +1`

Explanation:

Here f(x) is a sum of two functions. Hence differentiation of f(x) would be equivalent to the sum of differentiation of the two functions. Accordingly,

`f '(x) =d/dx (x-3)^3 + d/dx x`
= `3(x-3)^2 +1`
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