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Derivative Rules and Rates of Change in Basic Differentiation
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Learn about the Constant, Power, Constant Multiple, Sum and Difference rules in basic differentiation. Discover how to find derivatives of trigonometric and exponential functions efficiently.
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Derivative Rules and Rates of Change in Basic Differentiation
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Section 3.2 Basic Differentiation Rules and Rates of Change
The Constant Rule The derivative of a constant function is 0. In other words, if c is a real number, then
The Power Rule: If n is a rational number, then the function is differentiable and (be careful at x=0) The Constant Multiple Rule: (if f is a differentiable function.)
The Sum and Difference Rules If f and g are differentiable, then their sum and difference are also differentiable. Furthermore,
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