Question
Prove that if $F^{\prime}(x)=D$ for all $x$ in $(a, b)$ then there is a constant $C$ such that $F(x)=D x+C$ for all $x$ in $(a, b) .$ Hint: Let $G(x)=D x$ and apply Theorem B.
Step 1
This can be written as $F'(x) = D$. Show more…
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