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Suppose that f ( x ) is continuous on [a, b] and let m be any number between f ( a ) and f ( b ). Then there exists a number c such that a < c < b and. Integral calculator derivative calculator algebra calculator matrix calculator more. 𝑑 𝑑𝑥 𝑥𝑎 ;=𝑎⋅𝑥𝑎−1 ;derivative of a constant:
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𝑑 𝑑𝑥 :𝑎=0 2sum/difference rule: These rules are all generalizations of the above rules using the chain rule. The slope of the tangent line to a curve measures the instantaneous rate of change of a curve.