Question: MATH f ( x) = 4 = kx 1 k is a constant f'(x) = lim f ( xth)-f(x) h-0 (xth)-x k k lim xth

MATH

MATH f ( x) = 4 = kx 1 k is aconstant f'(x) = lim f ( xth)-f(x) h-0 (xth)-x k k lim

f ( x) = 4 = kx 1 k is a constant f'(x) = lim f ( xth)-f(x) h-0 (xth)-x k k lim xth X h h-0 K.*-(xth) = im x(xth) h h - 0 -kh = lim h x(xth) h-0 = lim -k h #0 x(xth) h-0 k =- =- kx -2 2 X The power rule still applies.What did you notice about the relationship between the original polynomial function and its derivative (the function of the IROC)? Try to explain your observations in your own words. Then, create a more complex polynomial and find the derivative follow this rule. Next, use the First Principles method to find the derivative of just one of the following. (Feel free to modify the function by adding a coefficient, adding a second or third term - as long as you can derive the IROC function using the first principle.) g a = = Va K xx = xx Does your result follow the same rule? Share your process and thoughts in your

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