Please answer all the given items (1,2,3). Show your complete solution. Can you solve the following item using the solution in the picture? Please use/follow the solution in the example huhu. Thank you so much!

Relate the derivative of a function to the slope of the tangent line Example: Determine the equation of the tangent line to f(x)= x - 9 at (2, - 5). Solution: First, determine the slope of the tangent line to the function f: 12 - 9 - (-5) m = lim f(I)-f(c) lim I H I- C 1 12 I- 2 -9+5 - lim - - 2 -4 lim - T-12 1 - 2 ( + 2) (1 - 2) - lim - 2 = lim r + 2 = 2+2 =4 + slope Then, substitute m = 4 and (2, - 5)=(21, y1) to point-slope form: point-slope form: y - y1 = m(x - :1) y - (-5) = 4(1 - 2) y + 5 = 4x - 8 y = 4x - 8 -5 y = 4x - 13 + equation of tangent line Determine the slope and equation of the tangent line to the following functions at the specified points. (3 pts each) 1) f (x) = 3 - 5x at (-1, 8) 2 ) f(x)= 1 1 1 at (2, 2) 3) f (t ) - +2 + 3 at ( 2, 7)