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Solution for Show That F(X) = E2x Is Increasing On R ? - CBSE (Commerce) Class 12 - Mathematics

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Question

Show that f(x) = e2x is increasing on R ?

Solution

\[f\left( x \right) = e^{2x} \]

\[f'\left( x \right) = 2 e^{2x} \]

\[\text { Now,} \]

\[x \in R\]

\[\text { Since the value of} e^{2x} \text { is always positive for any real value of }x, e^{2x} > 0 . \]

\[ \Rightarrow 2 e^{2x} > 0\]

\[ \Rightarrow f'\left( x \right) > 0\]

\[\text { So,f(x)is increasing on R} .\]

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Solution for question: Show That F(X) = E2x Is Increasing On R ? concept: Increasing and Decreasing Functions. For the courses CBSE (Commerce), CBSE (Arts), PUC Karnataka Science, CBSE (Science)
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