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Basic Differentiation Formulas In the table below, and represent differentiable functions of ? 0B 1BB Derivative of a constant .- .B ! Derivative of constant () We could also write , and could use ? .B.B ww -? -0 -0 the “prime notion” in the other formulas as well)multiple Derivative of sum or () ?. .B.B.B ? difference Product Rule ( .? .B.B.B ? ? Quotient Rule () .? .B ? .?. .B.B # Chain Rule .C.C .B.? .B .? .? .B.B.B 88“88“ B 8B? 8? (ln ) (ln ) .? .B.B.B BB? + + + + + (If = ) +/ / / .? .B.B.B BB? log log . ? .B+ B.B+ ?.B + B ? 11 (ln )(ln ) (If ) ln ln + /B ? .? .BB.B?.B 11 sincos sincos .? .B.B.B B B? ? cossin cossin .? .B.B.B B B? ? tansec tansec .? .B.B.B # B B? ? cotcsc cotcsc .? .B.B.B # B B? ? secsectan secsectan .? .B.B.B B BB? ? csccsccot csccsccot .? .B.B.B B BB? ? sin sin .B.B “ B ? arcsin arcsin .? .B.B.B “B“? B ? 11 # tan tan .B.B “ B ? arctan = arctan = .? .B“B.B“?.B B? 11 #
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