Calculus

Use a symbolic differentiation utility to find the derivative of the function g(x)=x�ã((x^2)+1). Use the utility to graph the function and is derivative on the same set of coordinate axes. Describe the behavior of the function that corresponds to any zeroes of the graph of the derivative.

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1. Sorry, that's x times square root of ((x^2)+1)

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2. f(x) = x(x^2 + 1)^(1/2)
f'(x) = (x)(1/2)(x^2+1)^(-1/2)(2x) + (1)(x^2+1)^(1/2)
f'(x) = (x^2)(x^2+1)^(-1/2) + (x^2+1)^(1/2)

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