(Solved): Suppose that \( f \) is a function given as \( f(x)=2 x-3 \). We will compute the derivative of \( ...

Suppose that \( f \) is a function given as \( f(x)=2 x-3 \). We will compute the derivative of \( f \) at \( x=5 \) as follows. First, we will compute and simplify the expression \( f(5+h) \). \[ f(5+h)= \] Then we compute and simplify the difference quotient between \( x=5 \) and \( x=5+h \). \( \frac{f(5+h)-f(5)}{h}= \) The derivative of the function at \( x=5 \) is the limit of the difference quotient as \( h \) approaches zero. \( f^{\prime}(5)=\lim _{h \rightarrow 0} \frac{f(5+h)-f(5)}{h}= \)