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Question
Show that the function f given by f(x) = 10x is increasing for all x ?
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Solution
\[f\left( x \right) = {10}^x \]
\[f'\left( x \right) = {10}^x \log 10 > 0, \forall x \in R\]
\[\text { So, f(x) is increasing for all x } \in R .\]
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