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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)