MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. If the function is not differentiable at the given value of x, tell whether the problem is a corner, cusp, vertical tangent, or a discontinuity. 1) y = -6 x - 1, at x = 0 1) A) cusp B) vertical tangent C) corner D) function is differentiable at x = 0 The figure shows the graph of a function. At the given value of x, does the function appear to be differentiable, continuous but not differentiable, or neither continuous nor differentiable? 2) x = 0 2) A) Differentiable B) Continuous but not differentiable C) Neither continuous nor differentiable Find the horizontal tangents of the curve. 3 ) y = x4 - 8x2 + 8 3 ) A) Atx = 0 B) Atx = 2, - 2, C) Atx = 0, 2, -2 D) Atx = 0, 2 Find dy/dx. 4 ) y = - 7 x - 8 4) A) 8x 8 8 ( 7 x - 8)2 B) - 14x - 8 -7x - 8 C ) D) - (7x - 8)2 (7x - 8)2 5 ) y = (4x - 6)(6x + 1) 5) A) 48x - 16 B) 48x - 32 C) 48x - 40 D) 24x - 32 Find the slope of the line tangent to the curve at the given value of x. 6) y = 5 - 6x2; x =2 A) 24 B) - 19 6) C) -24 D) 29 1