Find the equation of the tangent line to the curve when x has the given value.
14) f(x) = -2- x2; x = -1

15) according to one theory of learning, the number of items, w(t), that a person can learn
after t hours of instruction is given by:
w(t) = 15 0 ≤ t ≤ 64
find the rate of learning at the end of eight hours of instruction.

Suppose you want to transform the graph of the function y=tan(x+pi/4)-1 into the graph of the function y=-tan(x+pi/2)+1 which transformations should you perform. a) reflect the graph of the first function across the x-axis, translate it pi/4 units to the left, and translate it 2 units up. b) reflect the graph of the first function across the x-axis, translate it pi/4 units to the right, and translate it 2 units up. c) reflect the graph of the first function across the line y = -1, translate it pi/4 units to the left, and translate it 2 units up. d) reflect the graph of the first function across the line y = -1, translate it pi/4 units to the right, and translate it 2 units up.