Deriv Flashcards
(23 cards)
d/dx x^n = ?
d/dx x^n = nx^(n-1)
d/dx c = ?
d/dx c = 0
d/dx e^x = ?
d/dx e^x = e^x
d/dx ln(x) = ?
d/dx ln(x) = 1/x
d/dx c^x = ?
d/dx c^x = ln(c)*c^x
d/dx sin(x) = ?
d/dx sin(x) = cos(x)
d/dx cos(x) = ?
d/dx cos(x) = -sin(x)
d/dx tan(x) = ?
d/dx tan(x) = sec(x)^2
d/dx cot(x) = ?
d/dx cot(x) = -csc(x)^2
d/dx sec(x) = ?
d/dx sec(x) = sec(x)tan(x)
d/dx csc(x) = ?
d/dx csc(x) = -csc(x)cot(x)
d/dx arcsin(x) = ?
d/dx arcsin(x) = 1/(sqrt(1-x^2))
d/dx arccos(x) = ?
d/dx arcsin(x) = -1/(sqrt(1-x^2))
d/dx arctan(x) = ?
d/dx arctan(x) = 1/(1+x^2)
d/dx arccot(x) = ?
d/dx arccot(x) = -1/(1+x^2)
d/dx arcsec = ?
d/dx arcsec(x) = 1/ (abs(x)sqrt((x^2)-1))
d/dx arccsc(x) = ?
d/dx arccsc(x) = -1/ (abs(x)sqrt((x^2)-1))
d/dx sinh(x) = ?
d/dx sinh(x) = cosh
d/dx cosh(x) = ?
d/dx cosh(x) = sinh
d/dx tanh(x) = ?
d/dx tanh(x) = 1-tanh(x)^2
d/dx coth(x) = ?
d/dx coth(x) = 1-coth(x)^2
d/dx csch(x) = ?
d/dx csch(x) = -coth(x)csch(x)
d/dx sech(x) = ?
d/dx sech(x) = -tanh(x)sech(x)