Question

Помогите с производными

Answer 1

Ответ:

1

$( {a}^{x} + {a}^{y} ) '= ln(a) \times a {}^{x} + ln(a) \times a {}^{y} = \\ = ln(a) (a {}^{x} + a {}^{y} )$

2

$( \frac{3x}{5 {x}^{2} } )' = ( \frac{3}{5x} )' = (\frac{3}{5} {x}^{ - 1} ) '= \\ = - \frac{3}{5} {x}^{ - 2} = - \frac{3}{5 {x}^{2} }$

3

$((2x + 1) {x}^{2} ) '= (2 {x}^{3} + {x}^{2} )' = 6 {x}^{2} + 2x$