Question
Select each of the true statements from the following:
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The derivative of is
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The derivative of is
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The derivative of is
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The derivative of is
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The derivative of is
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The derivative of is
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All of the above statements are false.
Solution
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True. According to the rule for exponential functions the derivative of is
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False. According to the rule for logarithmic functions the derivative of is
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False. According to the rule for exponential functions the derivative of is
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False. According to the rule for trigonometric functions the derivative of is
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False. According to the power rule the derivative of is
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False. According to the rule for polynomial functions the derivative of is
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False.