Sketching the first Derivative of a function. ( Am in high school please use high school solutions to help me understand)

There are three graphs here. Please sketch each first derivative.( Help me understand)

Question 1 or Example 1

Recall a) ...... Sketching the Gr RHHS Mathematics Department . .- . . ...:. .. ...j.at $. ..5. . . intercept at x = a. axis in interval (a, b). axis in interval (a, b). . ... .... a .../.. . . . .. . ... ..... ..-........- Example 1: Sketching the graph of the derivative i. ..... .. .... . . . .! ...... ....;.. .. .. . . .. . . ! ..: . If f'(x) =0 at x = a, then the derivative function should contains the x- b ) Derivatives . If f'(x) 0 in interval (a, b), then the derivative function should be above x- Use the features of each function's graph to sketch the graph of its first derivative. : . : . : ! . ... !... 5 3... ...k. ...... .......i . ...... .. ... .. .. .i- ... ......... ...m ... . ..4. ....3..... .:. . . . .. .. .. ... .. . . ... ... -. .. ....... ... .5.. .... ..... C) ....- - 6 ...j.... ..... .... . .. .... .... . ... .i'm Him. .... .... .*.. ...;- ..im . .. . ....... .tom. ... .... .... ....... ". . . . ..E. .. + CD ........ ... ... ... . . . ..j.. + CD + CU + CU ..J.... .......i ........../ .... fest....... .... .... . . ... ...;. . . .. . .. . .:Page 2 of 4 Grade 12 (MCV4U) Calculus & Vectors Sketching the Graphs of the Derivatives Example 2: Sketching the function from the derivative Use the features of each differentiate function f'(x ) to sketch the graph of its original function f(x). y = f'(x) ...... ...... f'(x)= y'=0.1x' -0.2x2 -1.9x+2 . .... =0.1(x+4)(x-1)(x-5) y = f'(x) y = f(x) . . ........ ........ ...;;.... .. ........... ....... . . . .. .. .. -6 1.-2 .. in ... .... . .. ... .. ..;. .. .....i... .: .. .... ....".. .9. ..; .... . . > . ..!' .:.... .. ....:. : .. . . .. . . .. . ... ....... ; ......... . .. .. . .? . . .. . ... .. . .. . . : : Ip : is : . j . ...... ...... ... :.... - ..... ait ....;. ... . ........ ... . . .. . ...:.. ... .. . : - 6 4 -2 0. 2 ... .. . " . . ........... . . . ... ... ...... .. .. ...... . .jo. . ........... ...... : ...... ! ..... . .. .. .. RHHS Mathematics Department2) The following graph represents the second derivative, f"(x), of a function f(x), sketch a possible f(x). by = f (x ) . . . .. . .. .. .. X -6 6 -. . . 3) Sketch and compare the y and the y' graphs of the following functions. fx =1 x2 + 4 vs g x)= - 1 x2 - 4 RHHS Mathematics Department