Differentiation Flashcards
Differentiate xn
nxn-1
What is the derivative of ex?
ex
What is the derivative of ekx?
kekx
What is the derivative of ef(x)?
f’(x)ef(x)
What is the derivative of lnx?
1 / x
What is the derivative of ln(ax)?
1 / x
What is the derivative of ln f(x) ?
f’(x) / f(x)
What is the derivative of sinx?
cos x
What is the derivative of sin kx?
kcos kx
What is the derivative of cos x?
-sin x
What is the derivative of cos kx?
-ksin kx
What is the derivative of tanx?
sec2x
What is the derivative of tan kx?
ksec2 kx
What is the derivative of cosec x?
-cosecx cotx
What is the derivative of cosec kx?
-k coseckx cot kx
What is the derivative of sec x?
secx tanx
What is the derivative of sec kx?
kseckx tankx
What is the derivative of cotx?
-cosec2x
What is the derivative of cot kx?
-k cosec2kx
What is the derivative of ax?
ax lna
What is the derivative of akx?
akxk lna
What is the derivative of arcsin x?
1 / √(1-x2)
What is the derivative of arccos x?
-1 / √(1-x2)
What is the derivative of arctan x?
1 / (1+x2)