Question

знайти похідну
$1)y = frac{1}{ sqrt{x} } \ \ 2)y = tan(x) \ x = frac{pi}{3}$
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Answer 1

$y = frac{1}{ sqrt{x} } \ y' =( {x}^{ - frac{1}{2} } ) '= - frac{1}{2} {x}^{ - frac{3}{2} } = - frac{1}{2 sqrt{ {x}^{3} } }$

$y = tan(x) \y '( frac{pi}{3} ) = ( tan(x) )' = frac{1}{ cos^{2} (x) } = frac{1}{ cos^{2} ( frac{pi}{3} ) } = \ = frac{1}{ frac{1}{4} } = 4$