# MA 123 CH 5

 The flashcards below were created by user clydethedog on FreezingBlue Flashcards. Derivative of a constant function if f(x) = c (a constant) then f '(x) = 0the derivative of a constant is zero power rule if f(x) = xn, then f '(x) = nxn-1to take the derivative of x raised to a power, you multiply in front by the exponent and subtract 1 from the exponent constant multiple rule let c be a constant and f(x) be a differentiable function(cf(x))' = c(f '(x))the derivative of a constant times a function equals the constant times the derivative of the function.in other words, when computing derivatives, multiplicative constants can be pulled out of the expression sum rule let f(x) and g(x) be differentiable functions(f(x) + g(x))' = f '(x) + g'(x)the derivative of a sum is the sum of the derivatives difference rule let f(x) and g(x) be differentiable functions(f(x) - g(x))' = f '(x) - g'(x)the derivative of a difference is the difference of the derivatives product rule let f (x) and g(x) be differentiable functions(f(x)g(x))' = f '(x)g(x) + f(x)g'(x)the derivative of a product equals the derivative of the first factor time the second one plus the first factor times the derivative of the second one quotient rule (f '(x)g(x) - f(x)g'(x)) / (g(x))2the derivative of a quotient equals the derivative of the top times the bottom minus the t0p times the derivatie of the bottom, all over the bottom squared Authorclydethedog ID25166 Card SetMA 123 CH 5 DescriptionUK Updated2010-06-30T02:12:33Z Show Answers