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QUESTION 1

dy at the point NI If (x)sin(2y) = ())cos(2x), then what is dx O -1 O0 01 O2What is the expression for the slope of the graph (x - 5) + (y + 1) = 4 at any point (x, y)? Oy'= x -5 y +1 O y'= x +5 y -1 O y'= - x - 5 y +1 OV'= x +5 y - 1Let fbe the function defined by f(x) = cot(g(x)), where g is a differentiable function. Which of the following is equivalent to the derivative of f, with respect to x? O -csc(g(x))g'(x) O -csc2(g(x))g'(x) O-csc(g'(x)) O -csc2(g(x))\fWhich of the following is true about its inverse h? Let f be a decreasing function such that f(-2) = 5 and f'(-2) = O h'(-2) = On'()=-2 Oh '(5) = -2 O h'(5) = w | On\fIf y = sin(4x), then dy is equal to which of the following? dx O -4cos(4x) O _ --cos(4x) 4 O 4cos(4x) O cos(4x)If f'(x) = -x4 + 4x- - 3x + 2, then what is f"(x) evaluated at x = 4? O -227 O -202 O -184 O -96