Consider the function f(z) = 1 11 +7z a) We have that f(x+h)-f(1) h Note for...

 

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Consider the function f(z) = 1 11 +7z a) We have that f(x+h)-f(1) h Note for this part your answer may be left unsimplified. Notice that as h0, this is an indeterminate of the form b) Simplify the expression in (a) to get What are the values of A and B ? The goal is to compute f' (2) using the definition f(x+h)-f(x) h f'(x) = lim h0 f(a+h)-f(x) h f(z+h)-f(x) h FORMATTING: Your answer must be a function of . f'(z) = lim h0 A B Answer. [A, B] = FORMATTING: Please type your answer in the form [A, B], with the square brackets and a comma between A and B. For this question, you must use strict scientific calculator notation: multiplication is written *; for example, you must write 2x as 2*x and (x + 1)(x + 2) as (x+1)*(x+2) c) Finally, we have that where A is a constant and B is a function of x and h. Consider the function f(z) = 1 11 +7z a) We have that f(x+h)-f(1) h Note for this part your answer may be left unsimplified. Notice that as h0, this is an indeterminate of the form b) Simplify the expression in (a) to get What are the values of A and B ? The goal is to compute f' (2) using the definition f(x+h)-f(x) h f'(x) = lim h0 f(a+h)-f(x) h f(z+h)-f(x) h FORMATTING: Your answer must be a function of . f'(z) = lim h0 A B Answer. [A, B] = FORMATTING: Please type your answer in the form [A, B], with the square brackets and a comma between A and B. For this question, you must use strict scientific calculator notation: multiplication is written *; for example, you must write 2x as 2*x and (x + 1)(x + 2) as (x+1)*(x+2) c) Finally, we have that where A is a constant and B is a function of x and h.