Prove that the function $h ( t ) = a \left( e ^ { t } + b ^ { t } \right)$ , where a 1 and b 1, is increasing for all values of t.

Name: Prove that the function $h ( t ) = a \left( e ^ { t } + b ^ { t } \right)$ , where a > 1 and b > 1, is increasing for all values of t.
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Question

Prove that the function $h ( t ) = a \left( e ^ { t } + b ^ { t } \right)$ , where a > 1 and b > 1, is increasing for all values of t.

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Prove That the Function h(t)=a(et+bt)h ( t ) = a \left( e ^ { t } + b ^ { t } \right)h(t)=a(et+bt)

Prove That the Function $h ( t ) = a \left( e ^ { t } + b ^ { t } \right)$