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### 30 Cards in this Set

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 y=c y'=0 y=x y'=1 y=c*x y'=c y=x^n y'=n*x^(n-1) y-u^n n*u^(n-1)*u' y=c*f(x) y'=c*f'(x) y=f(x)*g(x) y'=f(x)*g'(x)+g(x)*f'(x) y= f(x)/g(x) y'=g(x)*f'(x)-f(x)*g'(x)/g(x)^2 y=[f(x)]^n y'=n*f(x)^(n-1)*f'(x) y=f(g(x)) y'= f'(g(x))*g'(x) y=e^x y'= e^x y=a^x y'=a^x*lna y=e^u y'=e^x*u' y=a^u y'=a^x*lna*u' y=ln(x) y'=1/x y=ln (u) y'= 1/u*u' y=log x a y'=1/x*lna y=log u a y'=1/ulna *u' y=sin (u) y'=cosu *u' y=cos(u) y'=-sin (u) *u' y=tan (u) y'=sec^2 (u)*u' y=cot (u) y'=-csc^2 (u)*u' y=sec(u) y'=sec(u)*tan(u)*u' y=csc (u) y'=-csc(u)*cot(u)*u' y=arcsin(u) y'=1/sqrt(1-x^2) y= arccos(u) y'=-1/sqrt(1-x^2) y=arctan(u) y'=1/(x^2+1) y=arccot(u) y=-1/(1+x^2) y=arcsec(u) y'= 1/x*sqrt(x^2-1) y=arccsc(u) y'=-1/x*sqrt(x^2-1)