The SDQ usually approximates the derivative much more closely than does the ordinary difference quotient. Let (x) = x and a = 3. Compute the

The SDQ usually approximates the derivative much more closely than does the ordinary difference quotient. Let ƒ(x) = √x and a = 3. Compute the SDQ with h = 0.01 and the ordinary difference quotients with h = ±0.01. Compare with the actual value, which is ƒ'(3) = 1/(2 √3).