If h(2) = 9 and h'(2) = −4, find

Question

If h(2) = 9 and h'(2) = −4, find

d/dx((h(x))/x)^2. x=2

Answer 1

Use the chain rule and the product rule to show that the derivative is

2[h(x)/x]{[xh'(x)-h(x)]/x²}.

Then substitute the given values to get your answer.