Question

Найдите производную функции:
1) y=x^10
2) y=1/x^8
3) y=x^7/6
4) y=x^-0,2

Answer 1

1

$y = {x}^{10}$

$y '= 10 {x}^{9}$

2

$y = \frac{1}{ {x}^{8} } = {x}^{ - 8} \\$

$y '= - 8 {x}^{ - 9 } = - \frac{8}{ {x}^{9} } \\$

3

$y = \frac{ {x}^{7} }{6} \\$

$y' = \frac{7}{6} {x}^{6} \\$

4

$y = {x}^{ - 0.2}$

$y' = - 0.2 {x}^{ - 1.2}$