1. Each derivative represents the first principles definition for some function f(x). State the function. a. f'(x) = lim 3(x+h)-3x b. h0 h f'(x): = lim (x+h)-x h0 h C. f'(x) = lim 4(x+h)-4x3 d. f'(x) = -6lim (x+h)= x h0 h h0 h 5 5 e. f'(x) = lim x+h f. h0 h f'(x) = lim x+h-x h0 h 2a. b. C. . Use the First Principle Method to determine the derivative of f(x) = 7-x. What slope of the tangent at x = 6? Write the equation of the line for the tangent. Use the First Principle Method to determine the derivative of f(x) = (2x-1). Hint: expand the binomial first. b. What slope of the tangent at x = 6? C. Write the equation of the line for the tangent.