Please explain me step by step all these questions with the answers.

Problem 5. (10 points) Part 1: The derivative ait "pecific point) Use the definition of the dervitive to' Compute' th"erivative of f@) 1 5t at the specific point 2, Evaluate the 'limit by using algebra to simplify the difference quotient (in first answer box) and then evaluating the limit (in the second answer box). + h) f(2) ft (2) lir% lim Part 2: The derivative function IJse the definition of the derivative to compute the derivative of the function 1 5t2 at an arbitrary point x. Evaluate the limit by using algebra to simplify the difference quotient (in first ansvar box) and then evaluating the limit (in the second ansiNer box). f' (c) lim Part 3: The tangent line lim bbw let's calculate the tangent 'ling: tothe functioo 5032 at a: = 5. Remaining time: 118:10 (min:sec) a. By using f'(c) from part 2, the stope Of the tangen line to f at a; 5 'is f b. The tangent line to f at 5 passes!hroughfthe in the form (2, 3) including the c. An equation for the tangent line to' Note: You can earn partial credit on this problem'} I on the graph of f. (Enter a point