Question

Differentiate y=2x^5-7x^3+3x

Answer 1

10
`x^(4)` - 21x² + 3

Explanation:

Differentiate each term using the power rule

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

y = 2
`x^(5)` - 7x³ + 3x

`(dy)/(dx)` = (5 × 2)
`x^(5-1)` - (3 × 7)
`x^(3-1)` + 3
`x^(1-1)`

= 10
`x^(4)` - 21x² + 3