Question
If $f(x)=3 x^{2}-x^{3},$ find $f^{\prime}(1)$ and use it to find an equation of the tangent line to the curve $y=3 x^{2}-x^{3}$ at the point (1,2)
Step 1
We use the power rule for differentiation, which states that the derivative of $x^n$ is $n*x^{n-1}$. So, $f^{\prime}(x) = 2*3*x^{2-1} - 3*x^{3-1} = 6x - 3x^{2}$. Show more…
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