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Show that the Function F Given by F(X) = 10x is Increasing for All X ?

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प्रश्न

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

बेरीज
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उत्तर

\[f\left( x \right) = {10}^x \]

\[f'\left( x \right) = {10}^x \log 10 > 0, \forall x \in R\]

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

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पाठ 16: Increasing and Decreasing Functions - Exercise 17.2 [पृष्ठ ३५]

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आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
पाठ 16 Increasing and Decreasing Functions
Exercise 17.2 | Q 28 | पृष्ठ ३५

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