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Calculus
Derivatives
Term | Definition |
---|---|
d/dx sinx | cosx |
d/dx cosx | -sinx |
d/dx tanx | sec^2 x |
d/dx cotx | -csc^2x |
d/dx secx | sec(x)*tan(x) |
d/dx cscx | -cot(x)*csc(x) |
definition of a derivative | ( f(x+h) - f(x) ) / h as h->0 |
Product Rule (f*g)' | (f*g)' = f'g + fg' |
Quotient Rule (f/g)' | (f/g)' = ( (g*f') - (f*g') ) / g^2 |
Chain Rule h(x) = (f*g)(x) | h'(x) = [ f'(g(x)) ] * [ g'(x) ] |
Implicit Differentiation | includes both x's and y's |