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3x + X3 + 33

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Question

3x + x3 + 33

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Solution

\[\frac{d}{dx}\left( 3^x + x^3 + 3^3 \right)\]
\[ = \frac{d}{dx}\left( 3^x \right) + \frac{d}{dx}\left( x^3 \right) + \frac{d}{dx}\left( 3^3 \right)\]
\[ = 3^x \log 3 + 3 x^2 + 0\]
\[ = 3^x \log 3 + 3 x^2\]

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Chapter 30: Derivatives - Exercise 30.3 [Page 33]

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R.D. Sharma Mathematics [English] Class 11
Chapter 30 Derivatives
Exercise 30.3 | Q 2 | Page 33

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