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## Homework Statement

Determine the derivative of f(x)=√(7+√x^3)

## Homework Equations

Chain rule: f(x)=fog(x) f'(x)=f'(g(x)) x g'(x)

## The Attempt at a Solution

f(x)=√(7+x^(3/2))

f'(x)=((½)x^(-½))(7+x^(3/2))((3/2)x^(½))

=(3.5x^(-½)+½x)((3/2)x^(½))

=5.25x^0+¾x^½

=5.25+¾x^½

That's as far as i got and i feel like it is completely wrong. Any guidance and help is very much appreciated! Thanks in advance.