Differentiate The Following function

Find dy/dx where y = (x²+7)^1/2
=> 1/2(x²+7)^-1/2 * d/dx(x²+7)  By the chain rule
=> 1/2(x²+7)^-1/2 * 2x
=> x(x²+7)^-1/2
Remember that x^1/2 = sqrt(x) and x^-1 = 1/x
^=> x/sqrt(x²+7)