Question

Найти производную функции y=5x^2 - 2/√x + sin π / 4​

Answer 1

Ответ:

${y}^{ | } = 10x + \frac{1}{x \times \sqrt{x}}$

Пошаговое объяснение:

${y}^{ | } = {(5 {x}^{2} - \frac{2}{ \sqrt{x}} + sin \frac{\pi}{4}) }^{| } = 5 \times {( {x}^{2})}^{ | } - 2 \times ( {x}^{ - \frac{1}{2}})^{| } + {(sin \frac{\pi}{4})}^{| } = 5 \times 2x - 2 \times ( - \frac{1}{2}) \times {x}^{ - \frac{1}{2} - 1} + {( \frac{ \sqrt{2} }{2})}^{| } = 10x + 1 \times {x}^{ - ( \frac{1}{2} + 1)} + 0 = 10x + \frac{1}{x \times \sqrt{x} }$