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The derivative of Ax with respect to variable xp is given by __________

The derivative of Ax with respect to variable xp is given by __________
a) \(\frac{d}{dx}\)(A x)=xp
b) \(\frac{d}{dx}\)(xp)=A x
c) ∫ A x=xp
d) ∫xp=Ax

Answer: a
Explanation: Let A be an (n x n) matrix of constants and x = [x1 x2 x3…… xn]T be column vector of n variables. Then, (formula) derivative of A x with respect to variable xp is given by
\(\frac{d}{dx}\) (A x)=xp.

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