Differentiate ((3x3)/( x)) with respect to x.

March 30, 2026Mathematics

ScanSolve AI Answer

March 30, 2026

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Step 1: Differentiate $\ln\left(\frac{3x^3}{\sin x}\right)$ with respect to $x$ . First, simplify the expression using logarithm properties: $\ln\left(\frac{3x^3}{\sin x}\right) = \ln(3x^3) - \ln(\sin x) = \ln(3) + \ln(x^3) - \ln(\sin x) = \ln(3) + 3\ln(x) - \ln(\sin x)$ Now, differentiate each term with respect to $x$ : $\frac{d}{dx}(\ln(3)) = 0$

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Quick Answer

Differentiate ((3x^3)/( x)) with respect to x.

Asked on March 30, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on March 30, 2026

Step 1: Differentiate ((3x^3)/( x)) with respect to x. First, simplify the expression using logarithm properties: ((3x^3)/( x)) = (3x^3) - ( x) = (3) + (x^3) - ( x) = (3) + 3(x) - ( x) Now, differentiate each term with respect to x: (d)/(dx)((3)) = 0 (d)/(dx)(3(x)) =