(a) \(f^\prime(1)=-7\text{;}\) (b) The slope equals to \(-7\text{;}\) (c) \(y=-7x+3\text{.}\) (a) See Figure 6.6.1.(b) Observe that all lines through \((3,1)\) are ...
Find \(\ds \lim_{h\to 0}\frac{f(1+h)-f(1)}{h}\) where \(\ds f(x)=\frac{3x+1}{x-2}\text{.}\) What does the result in (a) tell you about the tangent line to the graph ...