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4 cards from this section. Quick, good the night before a test.
What is the derivative of ln(x)?
Think about the base of the logarithm.
Find the derivative of log_10(x).
Remember to include the natural log of the base.
What is the derivative of ln(x)?
Think about how the function answers changes as x increases.
The derivative of log_a(x) is determined by which of the following?
Consider how the base affects the slope.
Find the derivative of f(x) = ln(3x^2 + 2) and identify its critical points.
Set the numerator to zero to find critical values.
If the function y = log_4(x^2 + 1), determine y' and analyze its behavior at x = 1.
Remember to apply the product and chain rules effectively.
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