[tex]f(x) = {3}^{x} - xln {x}^{2} [/tex]
[tex]f'(x) = ( {3}^{x} - xln {x}^{2} )'[/tex]
[tex]f'(x) = ( {3}^{x} )' - (xln {x}^{2} )'[/tex]
[tex]f'(x)={3}^{x} ln3-(2xlnx)'[/tex]
[tex]f'(x)={3}^{x} ln3-2(xlnx)'[/tex]
[tex]f'(x) = {3}^{x} ln3 -2 [x' \times lnx+ x \times (lnx )'][/tex]
[tex]f'(x) = {3}^{x} ln3 -2 (1 \times ln x + x \times \frac{1}{ x}) [/tex]
[tex]f'(x) = {3}^{x} ln3 - 2(ln x + 1 )[/tex]
[tex] f'(x) = {3}^{x} ln3 -2 ln x - 2[/tex]
