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Find the X -coordinates of All Relative Maxima of F(x) - F(x)=3x^3+45x^2+81x+11 Answer Attempt 1 Out of 4 X=

Question

Find the x -coordinates of all relative maxima of f(x) - f(x)=3x^3+45x^2+81x+11 Answer Attempt 1 out of 4 x=

Solution

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4.5 (239 Votos)
Carlos Profissional · Tutor por 6 anos

Resposta

To find the x-coordinates of all relative maxima of the function , we need to find the critical points of the function and then determine which of these points correspond to relative maxima.Step 1: Find the derivative of the function .The derivative of is given by: Step 2: Set the derivative equal to zero and solve for . Step 3: Determine the second derivative of the function .The second derivative of is given by: Step 4: Evaluate the second derivative at the critical point . Since , the critical point corresponds to a relative maximum.Therefore, the x-coordinate of the relative maximum of the function is .