# Calculus

 .remove_background_ad { border: 1px solid #555555; padding: .75em; margin: .75em; background-color: #e7e7e7; } .rmbg_image { max-height: 80px; } Derivative of a constant d/dx(c)= zero The power rule d/dx(xn)= nxn-1 d/dx[cf(x)]= c d/dx f(x) The sum rule: d/dx[f(x) + g(x)]= d/dx f(x) + d/dx g(x) The difference rule: d/dx[f(x)-g(x)]= d/dx f(x) - d/dx g(x) Product Rule: (f(x)g(x))'= fg ' + gf '. Or d/dx[f(x)g(x)]= f(x) d/dx g(x) + g(x) d/dx f(x) Quotient Rule: (f/g)'= (gf ' - fg ')/g2 d/dx (sin x)= cos x d/dx (cos x) - sin x d/dx (tan x) sec2x d/dx (csc x)= -csc x cot x d/dx (sec x)= sec x tan x d/dx (cot x)= -csc2x Chain rule: If F(x)= f(g(x)), then F(x)' = F(x)'= f ' (g(x))g'(x). Derivative of the outer function * inner function * derivative of the inner function Power Rule Combined with the Chain rule: d/dx (un)= nun-1 du/dx .remove_background_ad { border: 1px solid #555555; padding: .75em; margin: .75em; background-color: #e7e7e7; } .rmbg_image { max-height: 80px; } Authorlbwiggains ID41646 Card SetCalculus DescriptionReview for rules of differentiation and integration, Stewart Textbook 5th ed. Updated2010-10-18T20:30:33Z Show Answers