Question

What is the derivative of `g(x)=sqrt(5-3x)`?

Answer 1

`-3/(2sqrt(5-3x))`

Explanation:

The chain rule states:
`d/dx(g(f(x)) = g'(f(x)) * f'(x)`

In this example `g(x) = (5-3x)^(1/2)` `-> f(x) = 5-3x`

Thus `d/dx(g(x)) = 1/2 (5-3x)^(-1/2) * -3`

`= -3/(2sqrt(5-3x))`