Can you solve it with the steps please

Derivatives & - E . Find The first derivative of the following functions.. [5 points] . fox)= 8* . fox) = - 6 sin ( 3 x2) .fox)= ( x +3)e " . f(x) = (5x23x 12 X 2 . f ( x ) = Sec ( 6x 23x ) F. Use implicit differentiation to find ( dy ) . . [ 5 points ] . 2 X = 2 4 + 5 . 1 = 3 X + 2 x42 . 5 X = - 3xy+ 2 . 3 X + 3 = Insxy . Sin 2 x y3 = 3x3 + 1 G. Differentiate the following functions : [ s points ] f (x, = Cos"' ( - 5x 3 ) . f (x ) = Sin (-2x2 ) fox) = CSC' ( 4x ) . . fox) = tan ( 2x * ) . JOAD = Sin' ( 3x +1 )3 H. Find the Average rate of Charge at the following : -Is points . fox ) = - 15 x + 13 ; [- 5,- 3] . f (x) = -x2 ; [- 10,-61 . f ( x) = - 2X + 15 ; [ 3, 10 ] . f (x) = 5 x+6 ; [ 6,15] of ( x ) = 11 x - 12 ; [0, 8] 2 Integration :- I . Evaluate the following : [ spoints ] . S x 'dx . S- 2x'dx . Seedx S-sedx dx 16 + X 2 J. Evaluate each of the following integrals:- [5 Points] J(12x - 9x" + 2 ) dx . S( 5X- 7* + 3 ) dx ( 8 - 12 1 x 3 ) dx ( 15 w l BW TW) dw VX 3 - 2 ( X - x + 3 ) dx