question1-3

Thinking: 1. Find the equation of the tangent line to y - 16x - 12/x7 + 2 at x - 2 Mark: 3 2. Given h(x) = g(f(x)), where f and g are continuous functions, use the table to evaluate h(-1) and h'(-1) X f(x) g ( x) f(x) g'(x) -1 10 8 10 5 0 4 5 -1 13 1 3 2 -12 2 2 9 3 8 Mark: 3 3. For h(x) = x2n+1 n is a natural number (i.e.one of 1,2,3,4...). A student says, "The slope of all tangent lines to this curve, at any point on it, will have a positive or zero value." Is this statement always true, sometimes true, or never true? Defend your choice in words and give 2 examples Mark: 4