If h(2) = 8 and h'(2) = −7, find (d/dx)(h(x)/x) l x=2

Answer 1

Using the quotient rule, d/dx [h(x) / x] = [(xh'(x) - (1)h(x))] / x².

So, when x = 2, we get [(2)(-7) - (1)(8)] / 4 = -22/4 = -11/2