please solve and show work

Differentiate each function with respect to x. 1) y = 4x*+2x2 + 3x 2) y=x2 + 5 Vx+2 5 )=16x4+4x2+ 3x dx A)- dy = 2x+ dx 3x dy _ B) -=4x3 + 2x+3 dx dy B) dx -= x- 9+- 5 dy C ) -= 16x3 + 4x + 3 dx dy 5x dy - = 23x C) - = 2x+ + 6 D) dx dx D) dy 5x 4 dx = 2x + 3 For each problem, find the equation of the line tangent to the function at the given point. Your answer should be in slope-intercept form. 3) y=-x2 +4x -6 at (3, -3) 4) y = A) y= 12x + 10 2 - 3 x+ - at ( 2 , - 1 ) B) y= -2x + 3 A) y=-2x+ 3 C) y = 10x + 3 B) y=-x+- D) y= 8x - 2 C) y = -5x +- N D) y= -4x +3 Differentiate each function with respect to x. 5) f (x) = (x5 + 3)(2x4 -5) 6) f(x) = (3x2 + 5)(4x3 -5) A ) f' ( x ) = (x5 + 3). 8x3 + (2x4- 5). 5x4 A) f' ( x ) = (3x2 + 5)(4x3 - 5) + 6x - 12x2 B) f' (x) = (2x4 - 5) . 5x4 B) f'(x) = (3x2 + 5) . 6x +(4x3 -5). 12x2 C) f' (x) = (x5 +3). 8x3 C) f' ( x ) = (4x3 - 5). 6x D) f'(x) = (x5 + 3)(2x4 - 5)+5x4. 8x3 D) f'(x) = (3x2 +5). 12x2 + (4x3 -5). 6x