šõłve this qn of MATHŚ please....no WRØÑĢ answers ....
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šõłve this qn of MATHŚ please....no WRØÑĢ answers ....
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Answer:
local maxima points are x = 0, -5, local minima point is x= -3
Step-by-step explanation:
[tex]\frac{d}{dx} f(x) = -3x^3-24x^2-45x[/tex]
Now, [tex]\frac{d}{dx}f(x)= 0[/tex]
►[tex]-3x^3-24x^2-45x = 0[/tex]
►[tex]3x^3+24x^2+45x = 0[/tex]
►3x³ + 9x²+15x²+ 45x = 0
►3x²(x + 3)+15x(x+3)=0
►(x+3)(3x²+15x)=0
►3x(x+3)(x+5)= 0
so, x= 0 , -3, -5
Again, [tex]\frac{d}{dx}(\frac{d}{dx} f(x)) = -9x^2-48x-45[/tex]
x = 0, [tex]\frac{d}{dx}(\frac{d}{dx} f(x)) = -45[/tex] (maxima)
x = -3, [tex]\frac{d}{dx}(\frac{d}{dx} f(x)) = 18[/tex] (minima)
x = -5, [tex]\frac{d}{dx}(\frac{d}{dx} f(x)) = -30[/tex] (maxima)
Answer:
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Step-by-step explanation:
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