Question

найдите производную функцию​

Answer 1

1.

а)

$f'(x) = 7 {x}^{6} - 15 {x}^{4} - \frac{1}{2} {x}^{ - \frac{3}{2} } = \\ = 7 {x}^{6} - 15 {x}^{4} - \frac{1}{2x \sqrt{x} }$

б)

$g'(x) = 1 \times \sqrt{x} + \frac{1}{2} {x}^{ - \frac{1}{2} } (x + 5) = \\ = \sqrt{x} - \frac{x + 5}{2 \sqrt{x} }$

2.

$f'(x) = \frac{ - 2(x + 5) - (3 - 2x)}{ {(x + 5)}^{2} } = \\ = \frac{ - 2x - 10 - 3 + 2x}{ {(x + 5)}^{2} } = \\ = - \frac{13}{ {(x + 5)}^{2} }$