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

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

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Answer 1 · 2015-11-26T02:43:15

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

1 Answer

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