Science:Math Exam Resources/Courses/MATH200/December 2013/Question 01 (d)/Statement

Let $f(x)$ be a differentiable function, and suppose it is given that $f^{\prime }(0)=10$. Let $g(s,t)=f(as-bt)$, where $a$ and $b$ are constants. Evaluate $\frac{\partial g}{\partial s}$ at the point $(s,t)=(b,a)$, that is, find $\frac{\partial g}{\partial s}{|}_{(b,a)}$.