Addition of derivatives

Calculus Level 1

True or False?

Let f ( x ) f(x) and g ( x ) g(x) be polynomial functions, and let h ( x ) = f ( x ) + g ( x ) h(x) = f(x) + g(x) , then h ( x ) = f ( x ) + g ( x ) h'(x) = f'(x) + g'(x) .

False Insufficient information to determine True

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1 solution

Denton Young
Jul 27, 2016

Since polynomial functions are everywhere differentiable, the statement is true.

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