Question

If h(x) is given below, where f(5) = 6 and f '(5) = 3, find h'(5).

http://www.webassign.net/cgi-bin/symimage.cgi?expr=h%28x%29%20%3D%20sqrt%286%20%2B%205%20f%28x%29%29

Answer 1

\[h(x)=\sqrt{6+5f(x)}\]

\[h'(x)=5f'(x)/2\sqrt{6+5f(x)}\]

\[h'(5)=5f'(5)/2\sqrt{6+f(5)}\]


\[=15/4\sqrt{3}\]