Techniques of Differentiation - Quotient Rule

Techniques of Differentiation - Quotient Rule

Find the value of \(k\) such that \(\frac{\mathrm{d}}{\mathrm{d}x}\left( \frac{4x+3}{\sqrt{2x+5}} \right)=\frac{4x+k}{\sqrt{{{\left( 2x+5 \right)}^{3}}}}\).

Solution:

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Answer:\(k=17\).

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