Question
Find the derivative of the function using the definition of derivative. State the domain of the function and the domain of its derivative.$ f(x) = x^{3/2} $
Step 1
The domain of this function is all real numbers $x$ such that $x \geq 0$. This is because we cannot take the square root (which is involved in the exponent of $3/2$) of a negative number. So, the domain of the function is $[0, \infty)$. Show more…
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