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Show that the function f given by f(x)=1...

Show that the function `f` given by `f(x)=10^x` is increasing for all `x` .

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We have given
`f(x)=10^x`
Then we have to show that `f(x)` is increasing for all `x`
`f(x)=10^x`
`f'(x)=10^xlog_e10`
As `log_e10=1`
`f'(x)=10^x`>`0`
`f'(x)`>`0` for all x.
...
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