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Find the number of points of local extre...

Find the number of points of local extrema of `f(x)=3x^4-4x^3+6x^2+ax+b` where `a,b in R`

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To find the number of points of local extrema of the function \( f(x) = 3x^4 - 4x^3 + 6x^2 + ax + b \), we will follow these steps: ### Step 1: Find the first derivative of \( f(x) \) The first derivative \( f'(x) \) is calculated as follows: \[ f'(x) = \frac{d}{dx}(3x^4 - 4x^3 + 6x^2 + ax + b) ...
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