plz see the attachment

Remaining Time: 278:4 In this question we will estimate the value of tan(0.34x) using the linearization of f(x) = tan(x) at the nearby point c = 1/3. a) Compute the derivative of f at 1/3. f' (1/3) = FORMATTING: 7 is written pi, va is written sqr(a). b) Write down the linearization L(x) of tan (ma) atr = 1/3. L(I) = FORMATTING: Give the exact value of all coefficients. c) Since 0.34 is near 1/3, we use the linear approximation of tan(mac) found in (b) to estimate the value of tan(x) at = 0.34. This gives tan (0.347) ~ Number FORMATTING: Round your answer to at least six decimal places. (You should check with your calculator and judge if this value is a good estimate!)