Ответ:
Производная произведения равна [tex]\bf (u\cdot v)'=u'v+uv'[/tex] .
[tex]\bf y=(4x-3)\cdot \sqrt{x}\\\\y'=(4x-3)'\cdot \sqrt{x}+(4x-3)\cdot (\sqrt{x})'=4\sqrt{x}+\dfrac{4x-3}{2\sqrt{x}}[/tex]
Copyright © 2025 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
Ответ:
Производная произведения равна [tex]\bf (u\cdot v)'=u'v+uv'[/tex] .
[tex]\bf y=(4x-3)\cdot \sqrt{x}\\\\y'=(4x-3)'\cdot \sqrt{x}+(4x-3)\cdot (\sqrt{x})'=4\sqrt{x}+\dfrac{4x-3}{2\sqrt{x}}[/tex]