Universitario

TABLA DE DERIVACION
y=k y’=0
y=x y’=1
y=xn y’=nxn-1
y=k*f(x) y’=k*f’(x)
y=f(x)+g(x)y’=f’(x)+g’(x)
y=f(x)*g(x) y’=f’(x)*g(x)+g’(x)*f(x)
y=f(x)/g(x)y’=f’(x)g(x)-g’(x)f(x)/g2(x)
y=Sen x y’=Cos x
y=Cos x y’= -Sen x
y=tag x y’=1/Cos2 x y’=1+tag2*x
y=Secx y’=Sec x*tag x
y=Cosec x y’= -Cosec x*Cotag x
y=Cotag x y’=-1/Sen2 xy’=-1-Cotg2 x
y=logax y’=1/x * loga e
y=loga f(x) y’=1/f(x) * loga e * f’(x)
y=ln x y’= 1/x
y=lnf(x) y’= 1/f(x) * f’(x)
y=ax y’=ax * ln a
y=af(x) y’=af’(x) * ln a * f’(x)
y=ex y’=exy=efx) y’=ef(x) * f’(x)
y=arc Sen x y’=1/1-x2 ½
y=arc Sen f(x) y’=1/1-f2(x)1/2(x) * f’(x)y=arcCos x y’= - 1/1-x2 ½
y=arc Cos f(x) y’= -1/1-f2(x)1/2(x) * f’(x)
y=arc tag xy’=1/1+x2
y=arc tag f(x) y’=1/1+f2(x)
y=arc Cotag x y’= -1/1+x2
y=arc Cotag f(x) y’=1/1+f2(x) *f’(x)
y=[f(x)]n y’=n[f(x)]n-1f’(x)
y=f(x) 1/n y’=1/n * [f(x)n-1]1/n f’(x)