Use product rule to find the derivative of f (x) = (x2 + 5cosx)(x3 - 2x + tanx). Select one: O a. f'(x) = (2x - 5sinx) ((23 - 2x + tanx) + (x2 + 5cosx) (3x2 + sec2x - 2). O b. f'(x) = (2x + 5sinx)((23 - 2x + tanx) + (x2 + 5cosx)(3x2 + sec-x - 2). O c. f'(x) = (2x - 5sinx) ((x3 - 2x + tanx) + (x2 + 5cosx) (3x2 + sec2x + 2). O d. f'(x) = (2x - 5sinx) ((x3 - 2x + tanx) + (x2 + 5cosx) (3x2 - sec2x - 2). O e. f'(x) = (2x - 5sinx) (3x2 + sec2x - 2). Use quotient rule to find the derivative of g(x) = $-45 Select one: Oa. g'(x) = 275-30x-512 12 (2+6)2 Ob. g'(x) = 612-10r-30 12(x+6)2 Oc. g(x) = Ar +18x-r+10r+30 12 (1+6)2 Od. g(x) =2+613+5x2+30r x2(1+6)2 Oe. g(x) = 6r2 +10r+30 12(2+6)2Let f(x) = -9x- find f'(2). Select one: O a. O b. - 32 O c. 32 O d . 16 O e. 36 32 What is the derivative of f(x) = 6x-2 + 8x3 + 11x + 10 + e?? Select one: O a. -12x + 24x2 + 11 + e O b. -12x + 24x2+ er O c. -12x 3 + 24x2 + 11 + er O d. -12x-3+ 24x2 + er O e. 12x3 + 8x4 + 11x2+ etFind an equation for the line tangent to given curve y = -10x2-3 at x = 0. 4r+1 Select one: O a. y = 12x-3 O b. y = 12x+ 3 O c. y= -12x - 3 O d. y= -12x + 3 O e. y = 12x - 9