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

Question

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

Accepted Answer

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

Logarithmic and exponential composites