I think this reads y=x*rad(x^2+1); if so, you need the product rule and the chain rule:
dy/dx=x*(x(x^2+1)^-.5)+rad(x^2+1). In the first term of the product rule you get x*(.5((x^2+1)^-.5)*2x) by the chain rule, but that may be hard to follow with all the parantheses so I tried to clean it up.
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dy/dx = x/2 * (x^2+1)^(-1/2) * (2x) + √(x^2 + 1)
dy/dx = x^2/√(x^2 + 1) + √(x^2 + 1)
dy/dx = (2x^2 + 1)/√(x^2 + 1)
I think this reads y=x*rad(x^2+1); if so, you need the product rule and the chain rule:
dy/dx=x*(x(x^2+1)^-.5)+rad(x^2+1). In the first term of the product rule you get x*(.5((x^2+1)^-.5)*2x) by the chain rule, but that may be hard to follow with all the parantheses so I tried to clean it up.
Hint: the product rule