Let f (x) = 3x2 - 2x - 3 and8(x) = f-1(x). What is the slope of the curve g (x ) =f-(x) at the point (5, 2)? 0 8'(5) = 10 0 g' (5) = 2 0 8' (5) = 5 o g'(5) = 1Letf(x) = (I?) and g(x) =f'l (x). What is the slope of the curve g (x) = f_1 (x) at the point (2, l)? O 3"(2) =1 0 3"(2) = 4 O 3"(2) = 4 O g'(2) = 1 Letf ( x) = (x2 - 2x + 3)? and 8(x) = 1-1 (x). What is the slope of the curve g (x ) =f-(x) at the point (9, 0)? 0 8' (9) = -1 0 g (9) = - 1 12 o g'(9) = 12 o g' (9) = 1What is the derivative of y = sin-1 (x2 - 2x)? -2 O dx 1-(x2-2x)2 dy 2x-2 O dx = 1+(x2-2x) dy 2x-2 O dx = V1-(x2-2x)2 dy -2 = O dx V1-(x2+2x)What is the derivative of y = cos-1 (x2 + 2x)? dy O dx V1-(x2+2x ) 2 dy 2x+2 O dx V1-(x2+2x dy 2x+2 O dx = 1-(x2+2x ) dy O = dx 1-(x2+2x )What is the derivative of y = tan-1 (x2 + 2x)? dy 2x+2 O dx 1+(x2+2x ) dy 2x+2 O = dx 1+ (x2+2x ) 2 2x+2 O dy dx 1+ ( x2+2x ) 2 dy 2x+2 O dx V1+(x2+2x )What is the derivative of y = (2x)(sin-1(3x2))? O dy 2(V1-9x4 ) sin" (3x2 ) +12x2 dx V1-9x4 O dy 2( V1-3x4 sin (3x2)-12x dx V1-3.x4 O dy 2(V1-9x4 ) sin" (3x2 ) +12x = dx V1-9x4 O dy 2(V1-9x4 ) sin"(3x2)-12x2 = dx V1-9x4