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arrow_back In the following problem, \(b\), and \(c\). REAL NUMBERS. The derivative of \(g(x)=\log _{a}(b x)+c x^{2}\) is:

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In the following problem, \(b\), and \(c\). REAL NUMBERS.The derivative of \(g(x)=\log _{a}(b x)+c x^{2}\) is:

  1. \(g^{\prime}(x)= \dfrac{b\log_a(b x)}{\ln a}+2cx \)
  2. \(g^{\prime}(x)= \dfrac {b\log -a(b x)+2 cx}{\ln a} \)
  3. \(g^{\prime}(x)=\dfrac{a\log_{a}(b x)}{ \ln b}+2(x)\)
  4. \(g^{\prime}(x)=\dfrac{b\log -a(b x)}{(\ln a}\)
  5. \(g^{\prime}(x)=b\log - a(b x)+2(x)\)
  6. \(g^{\prime}(x)=\dfrac{b  \log _{a}(b x)}{ \ln a}+2c \)

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\(g^{\prime}(x)= \dfrac{b\log_a(b x)}{\ln a}+2cx \)

by Platinum
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