Function f(x)=2x3−9x2+12x+29𝑓𝑥=2𝑥3-9𝑥2+12𝑥+29 is decreasing when x∈(a, b)𝑥∈𝑎, 𝑏 then find value of a+b𝑎+𝑏.
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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