Derivative formulas Flashcards
What formula is this for? lim x-0 F(x+h)-f(x)/h
Definition of the derivative
What formula is this for? d/dx(c) = 0
Constant rule
What formula is this for? d/dx (f+g)= f’+g’
Sum rule
What formula is this for? d/dx(cf)= cf’
Coefficient rule
What formula is this for?d/dx(x to the n power) = nx(n-1) (n= any real number)
Power Rule
What formula is this for?d/dx(f * g)= f’(g)+f(g’)
Product Rule
What formula is this for?d/dx(f/g)= f’(g)-f(g’)/g^(2)
Quotient Rule
d/dx(e^(x)) is what?
e^(x)
d/dx(sin x) is what?
cos x
d/dx(cos x) is what?
-sin x
d/dx (tan x) is what?
sec^(2) x
d/dx(cot x) is what?
-csc^(2) x
d/dx arcsin x is what?
1/sqrt(1-x^(2))
d/dx(ln x) is what?
1/x
d/dx arccos x is what?
-1/sqrt(1-x^(2))
d/dx arctan x is what?
1/1+x^2)
d/dx(sqrt(x)) is what?
1/2*sqrt(x)
d/dx arccot x is what?
-1/1+x^2)
d/dx(1/x)
-(1/x^(2))
d/dx (ln u) is what?
u’/u
d/dx (a^(x)) is what?
a^(x) ln a
d/dx (log(a) x) is what?
1/x ln a
d/dx (1/x) is what?
-1/x^(2)
What is the inside outside method called?
Chain rule
