n (2) Find the derivative of the function f(x)= e at 2= 2 by using numerical affronsmation for the values of has follows 0.5, 0.05, 0005.

Use the second forward, backward and central divided difference equations to estimate the second derivative OF: f (x) = - = -0.1 X² -0.15x³ - 0.5 x² - 0.25x + 1.2 at X = 0.5 using step size h = 0.5. Show your complete solutions. derivative error 20 forward -3.1500 80.00 backward -1.0500 40.00 central -1.8000 2.86 formulas F" (xi) • f (X;) - 2 f (Nin) f(xine) 3 + h² 2 f" (xi) , f (x; ) - 2 f (xi-f(Xi-z) h² f" (x₁) = f (x + 1) 2f (Xi ) + f ( Xin ) h² What are the effects on the step size is halved ? derivative error a forward backward Central (second forward divided..) (second backward divided) (central divided approx.) results if the

Find the nth derivative of √x (general formula) . No using double factorials and no integrals. Only derivative.

Please solve and show all work. Thank you.