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Applied Mathematics · 2024 · 5 marks

CBSE 2024 · Central · Set 4 · Q33

(a) Find all the points of local maxima and local minima of the function: f(x)=-3/4 x^4-8 x^3-45/2 x^2+105.

(a)
Find all the points of local maxima and local minima of the function :
$$f(x)=-\frac{3}{4} x^4-8 x^3-\frac{45}{2} x^2+105.$$
OR
(b)
Find the intervals in which the following function f is strictly increasing or strictly decreasing :
$$f(x)=20-9 x+6 x^2-x^3.$$

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