Logarithmic and exponential composites

Logarithmic and exponential composites

IB Year 6 | Grade 12
4 marks

Differentiate \(y=\log_3(2x+1)+5^{x^2}\) with respect to \(x\), where \(x>-\frac12\).[4]

Solution:

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Answer:\(\frac{2}{(2x+1)\ln3}+2x5^{x^2}\ln5\)

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