Function f(x)=2x3โ9x2+12x+29๐๐ฅ=2๐ฅ3-9๐ฅ2+12๐ฅ+29 is decreasing when xโ(a,ย b)๐ฅโ๐,ย ๐ then find value of a+b๐+๐.
Question
Solution 1
To find the interval where the function is decreasing, we first need to find the derivative of the function f(x) = 2x^3 - 9x^2 + 12x + 29.
The derivative of the function, f'(x), is 6x^2 - 18x + 12.
Next, we set the derivative equal to zero and solve for x to find the critical points:
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