Question

знайти похідну функції ср
$y = \sqrt{3 \times 4x}$
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Answer 1

Ответ:

у=√(3*4х)=2√3*√х ;

у'=2√3*½*х^(-½)=2√3*½*1/(х^½)=(2√3)/(2х^½)=√3/(х^½)=√3/√х=(√3√х)/(√х√х)=√(3х)/х=√(3/х).

Answer 2

(k*aⁿ)'=k*n*aⁿ⁻¹

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у=√(3*4х)=2√3 * √х=2√3 * x^(1/2)

у'=2√3 * (1/2) * x^(1/2 - 1)=√3*x^(-1/2)=√3 /√x=√(3/x).