Question

If y= -3x7+2x3+ x, the derivative of y with respect to x is

Answer 1

`(dy)/(dx)` = - 21
`x^(6)` + 6x² + 1

Explanation:

Differentiate each term using the power rule

`(d)/(dx)` (a
`x^(n)` ) = na
`x^(n-1)`

Given

y = - 3
`x^(7)` + 2x³ + x , then

`(dy)/(dx)` = (7 × - 3 )
`x^(6)` + (3 × 2)x² + (1 × 1 )
`x^(0)`

= - 21
`x^(6)` + 6x² + 1