Question
Let $f(x)=x^{3}-4 x^{2}$. Find the points on the graph of $f$ where the tangent line is horizontal.
Step 1
To find the points on the graph of $f$ where the tangent line is horizontal, we need to find the values of $x$ where the derivative of $f$ is equal to zero. Show more…
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Key Concepts
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Find the point(s) on the graph of the given function at which the tangent line is horizontal. $$ f(x)=x^{4}-4 x^{3} $$
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Find $f^{\prime}(x)$ and the equation of the line tangent to the graph off at the indicated value of $x .$ Find the value(s) of $x$ where the tangent line is horizontal. $$ f(x)=(4 x-3)^{1 / 2} ; \quad x=3 $$
Transcript
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