A. Differentiability at a point implies continuity there.B. Continuity at a point implies differentiability there.C. Every polynomial is differentiable for all real x.D. The function |x| is differentiable at x=0.
Correct Answer: A|C
Explanation:
Continuity is necessary but not sufficient for differentiability.
A. If det(A)≠0, A is invertible.B. det(AB)=det(A)det(B).C. If det(A)=0, the rows must be linearly independent.D. The identity matrix has determinant 1.
A. Differentiability at a point implies continuity there.B. Continuity at a point implies differentiability there.C. Every polynomial is differentiable for all real x.D. The function |x| is differentiable at x=0.
Correct Answer: A|C
Explanation:
Continuity is necessary but not sufficient for differentiability.
A. If det(A)≠0, A is invertible.B. det(AB)=det(A)det(B).C. If det(A)=0, the rows must be linearly independent.D. The identity matrix has determinant 1.
A. If det(A)≠0, A is invertible.B. det(AB)=det(A)det(B).C. If det(A)=0, the rows must be linearly independent.D. The identity matrix has determinant 1.
A. Differentiability at a point implies continuity there.B. Continuity at a point implies differentiability there.C. Every polynomial is differentiable for all real x.D. The function |x| is differentiable at x=0.
Correct Answer: A|C
Explanation:
Continuity is necessary but not sufficient for differentiability.
A. If det(A)≠0, A is invertible.B. det(AB)=det(A)det(B).C. If det(A)=0, the rows must be linearly independent.D. The identity matrix has determinant 1.
