Question

Y= 3/v(7x+5) +4x^6 найти производную с полным решением

Answer 1

$y = \frac{3}{ \sqrt{7x + 5} } + 4 {x}^{6} = \frac{3}{ {(7x + 5)}^{ \frac{1}{2} } } + 4 {x}^{6} = 3 {(7x + 5)}^{ - \frac{1}{2} } + 4 {x}^{6}$
y'(x) =
$3 \times ( - \frac{1}{2} ) \times {(7x + 5)}^{ - \frac{1}{2} - 1 } + 4 \times 6 {x}^{6 - 1} = - \frac{3}{2} \times {(7x + 5)}^{ - \frac{3}{2} } + 24 {x}^{5} = - \frac{3}{2 {(7x + 5)}^{ \frac{3}{2} } } + 24 {x}^{5} = - \frac{3}{2 \sqrt{ {(7x + 5)}^{3} } } + 24 {x}^{5}$