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(2x2 + 1) (3x + 2) - Mathematics

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(2x2 + 1) (3x + 2) 

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Solution

\[\frac{d}{dx}\left( \left( 2 x^2 + 1 \right)\left( 3x + 2 \right) \right)\]
\[ = \frac{d}{dx}\left( 6 x^3 + 4 x^2 + 3x + 2 \right)\]
\[ = 6\frac{d}{dx}\left( x^3 \right) + 4\frac{d}{dx}\left( x^2 \right) + 3\frac{d}{dx}\left( x \right) + \frac{d}{dx}\left( 2 \right)\]
\[ = 6\left( 3 x^2 \right) + 4\left( 2x \right) + 3\left( 1 \right) + 0\]
\[ = 18 x^2 + 8x + 3\]

Concept: The Concept of Derivative - Algebra of Derivative of Functions
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 30 Derivatives
Exercise 30.3 | Q 5 | Page 33

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