K Determine whether the following statements are true and give an explanation or counterexample Assume...

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Calculus

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K Determine whether the following statements are true and give an explanation or counterexample Assume x 0 and y 0 a In xy Inx Iny b In 0 1 c In x y In x Iny e xelx 1 d f d On dx 3x 33x for any integer n 2 1 1 g The area between the curve y and the x axis on the interval 1 e is 1 X OCED OD The statement is true The Sum Rule of Logarithms states that In x y Inx Iny d Choose the correct answer below d dx A The statement is false because the derivative of an exponential function is defined as x 1 d OB The statement is false because e is a constant and the derivative of a constant cis O C The statement is true because e is a constant and the derivative of a constant c is dx c 0 dx d c c d e dx The statement is true because the derivative of an exponential function is defined as

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