Find the error in the linear approximation to the value of

Question

Let f be the function defined by f(x) = 6 exp(x² - 3x). The function exp(u) is another name for e^u.

a. Find L(x) the linear approximation to f at 3.

b. Use the Linear Approximation for f(x) = 6 exp(x² - 3x) at 3 to estimate f(3.06).

c. Find the error in the linear approximation to the value of f(3 + 0.06) that we found in part b).

d. Find the percentage that results from approximation f(3 + 0.06) by the value in part b).