help me with this calculus problem!

1) FIND THE MOST GENERAL 2) FIND THE MOST GENERAL ANTI DERIVATIVE OF F ( X ) = SINX ANTI DERIVATIVE OF f (x ) = X + 1 X 3 ) FIND THE CRITICAL NUMBERS OF 4 ) FIND THE CRITICAL NUMBERS OF f(x ) = x5 - 12x fix) = x 3 - x 3 51 f ( x) = SIN Xx , - 85 x $ 2 TT +E, E70 6) f(x)= _x FIND THE INTERVALS WHERE FIND ALL VALUES OF X WHERE + HAS IS INCREASING . AN INFLECTION POINT . 7) FIND Jem . 8 ) fix) = X" - 24x2 FIND THE INTERVALS WHERE f is CU, CD. (IDENTIFY ) 9) f(x) = 2x3+ 3x2- 12x, FIND ALL VALUES X WHERE + HAS A LOCAL MIN, MAX ( IDENTIFY ] 10) FIND lum. COSX x -ot 11) fun = 2 cosx + SIN x , *E - E, 2TT+2 ]| 12 ) fix ) = x 5/3_5x43 FIND ALL VALUES OF X WHERE + FIND ALL INTERVALS WHERE f IS CU, CD ( IDENTIFY ) HAS AN INFLECTION POINT . 13) WHAT IS THE LARGEST POSSIBLE AREA 14 ) FIND THE POINTSON THE CURVE OF A RECTANGLE WITH ITS BASE ON THE X- AXIS AND VERTICIES Xy = 8 THAT ARE CLOSEST TO THE ABOVE THE X- AXIS ON THE CURVE POINT ( 3 , 0 ) y = 4-2x2