Question

Differentiate $y=3^x,(x>0)$ w.r.t $x$

Answer 1

$y=3^x$

$\log y=\log 3^x=x\log 3$

Differentiating both sides

$\frac{1}{y}\frac{dy}{dx}=x\left(0\right)+\log 3$

$\frac{dy}{dx}=y\log 3$

$\frac{dy}{dx}=3^x\log 3$