Question

Using the three-step approach (formal definition of derivatives: (as discussed in class)), find the derivative of the following function () = √ 2 − 5x

Answer 1

The derivative of f(x) = √{2 - 5x) with respect to x is

`(-5)/(2√((2-5x)) )`

How to find the derivative

Derivative of f(x) =
`\sqrt{{(2 - 5x)}`

Let u = 2 - 5x

derivative of u =
`(1)/(2√(u) )`

Find the Derivative of the Inner Function

U = -5

Substituting for u

=
`(1)/(2√((2-5x)) )*-5`

=
`(-5)/(2√((2-5x)) )`