Question

Rewrite the function, differentiate, and then simplify

y= 3/√x

Answer 1

`(dy)/(dx)` = -
`\frac{3}{2x^{(3)/(2) } }`

Explanation:

Differentiate using the power rule

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

Given

y =
`(3)/(√(x) )` = 3
`x^{-(1)/(2) }` , then

`(dy)/(dx)` = -
`(3)/(2)`
`x^{-(3)/(2) }` = -
`\frac{3}{2x^{(3)/(2) } }`