Answer
Composite function=$f(5t+11)=\ln (5t+11)$
$f^{'}(5t+11)=\frac{5}{5t+11}$
Work Step by Step
$f(x)=\ln x; x(t)=5t+11$
Composite function will be;
$f(5t+11)=\ln (5t+11)$
Taking derivative with respect to t
$f^{'}(5t+11)=\frac{d[\ln (5t+11) ]}{dt} $
$f^{'}(5t+11)=\frac{1}{5t+11}\frac{d(5t+11)}{dt} $
$f^{'}(5t+11)=\frac{1}{5t+11}\times(5)=\frac{5}{5t+11}$
