(Solved): 1) The graph of f(x)=2x22x+1 and its tangent line at x=1 are shown below: (20 POINTS) a) The slo ...

1) The graph of $f(x)=2x^2-2x+1$ and its tangent line at $x=1$ are shown below: (20 POINTS) a) The slope of a curve at a point is the slope of the line tangent to the curve at that point. Use the graph of the tangent line to determine the slope of $f(x)$ at the point where $x=1$. Use the slope formula or a rise/run calculation. b) Use the limit definition of the derivative $\left({\lim }_{h\to 0}\frac{f(x+h)-f(x)}{h}\right)$ to find $f^{\prime }(x)$ c) Use the derivative to find the slope of the line tangent to the curve at $x=1$ d) Find the equation of the line tangent to the curve at the point where $\mathrm{x}=1$.