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Draw the graph of the function y=3x^(4)-...

Draw the graph of the function `y=3x^(4)-4x^(3)`. Discuss the points of local extremum, inflection and intervals of monotonicity.

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To solve the problem of drawing the graph of the function \( y = 3x^4 - 4x^3 \) and discussing the points of local extremum, inflection, and intervals of monotonicity, we will follow these steps: ### Step 1: Find the first derivative To find the local extremum, we first need to compute the first derivative of the function. \[ y' = \frac{d}{dx}(3x^4 - 4x^3) = 12x^3 - 12x^2 \] ...
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