The derivative is given by the chain rule: f'(x)=5/(2sqrt(5x+6)). So the domain of f'(x) consists of those x such that 5x+6>0 which is the same as x>-6/5. In interval notation we have (-6/5,infinity).
Lara M.
asked • 11/17/20Let f(x)=sqrt(5x+6)
- Find f′(x).
- Find the domain of f′(x) in interval notation
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