Question

(1 point) Find the derivative of the function egin{equation} f(x) = ext{det}egin{bmatrix}6 & -6 & -9 & 5 & -4\-5 & 0 & 4 & -3 & -1\3 & 0 & 0 & 1 & -6\x & 4 & -6 & 5 & -6\-1 & 0 & 0 & 0 & -2end{bmatrix} end{equation} f'(x) =

          (1 point) Find the derivative of the function
egin{equation*}
f(x) = 	ext{det}egin{bmatrix}6 & -6 & -9 & 5 & -4\-5 & 0 & 4 & -3 & -1\3 & 0 & 0 & 1 & -6\x & 4 & -6 & 5 & -6\-1 & 0 & 0 & 0 & -2end{bmatrix}
end{equation*}
f'(x) =

(1 point) Find the derivative of the function
eginequation*
f(x) = extdeteginbmatrix6 -6 -9 5 -45 0 4 -3 -1 0 0 1 -6 4 -6 5 -61 0 0 0 -2endbmatrix
endequation*
f'(x) =

Added by -Scar R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

07/01/2023

Step 1

The matrix is: $$ A = \begin{bmatrix} 3x & -1 & 6 & -9 \\ -6 & 5 & 0 & 0 \\ 5 & -5 & 3 & 6 \\ -6 & 5 & 0 & 0 \end{bmatrix} $$ We can simplify the determinant by expanding along the first row: $$ \det(A) = (3x) \cdot \det \begin{bmatrix} 5 & 0 & 0 \\ -5 & 3 & 6 Show more…

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