Question

Cum se face punctul a??

Answer 1

$f(x) = {3}^{x} - xln {x}^{2}$

$f'(x) = ( {3}^{x} - xln {x}^{2} )'$

$f'(x) = ( {3}^{x} )' - (xln {x}^{2} )'$

$f'(x)={3}^{x} ln3-(2xlnx)'$

$f'(x)={3}^{x} ln3-2(xlnx)'$

$f'(x) = {3}^{x} ln3 -2 [x' \times lnx+ x \times (lnx )']$

$f'(x) = {3}^{x} ln3 -2 (1 \times ln x + x \times \frac{1}{ x})$

$f'(x) = {3}^{x} ln3 - 2(ln x + 1 )$

$f'(x) = {3}^{x} ln3 -2 ln x - 2$

Answer 2

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