Question
Find a function $f(x)$ such that the point (1,2) is on the graph of $y=f(x),$ the slope of the tangent line at (1,2) is 3 and $f^{\prime \prime}(x)=x-1$
Step 1
To find the first derivative, we take the antiderivative of $f^{\prime \prime}(x)$, which gives us $f^{\prime}(x)=\frac{x^{2}}{2}-x+C$ where $C$ is an arbitrary constant. Show more…
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