Derivative of:
Cos π§
-sin π§
Derivative of:
Tan π§
Sec^2 π§
Derivative of:
Cot π§
-csc^2 π§
Derivative of:
Sec π§
Sec π§ tan π§
Derivative of:
Sin π§
cosπ§
Derivative of:
Csc π§
-csc π§ cot π§
Constant Rule
f(x)= K
F(x)= 0
~Any constant
Power Rule
f(x)= X^n
fβ(x)= nX^(n-1)
Constant Multiple Rule
f(x)=Ku
fβ(x)=K(uβ(x))
Sum Rule
f(x)=u(x)+v(x)
fβ(x)=uβ(x)+vβ(x)
Difference Rule
f(x)=U(x)-V(x)
fβ(x)=Uβ(x)-Vβ(x)
Exponential Function
f(x)=b^x
fβ(x)= (Inb)b^x
Natural Exponential function
f(x)=e^x
fβ(x)=e^x
Logarithmic Fuction
f(x)=logb(x)
fβ(x)=1/(Inb)x
Natural log
f(x)=In(x)
fβ(x)=1/x
Product Rule
f(x)=UV
fβ(x)=UβV+UVβ
Quotient Rule
f(x)=u/v
fβ(x)=uβv-uvβ/[v]^2
Chain Rule
fβ(g(x)) β’ gβ(x)
Sin ^-1(x)
[ arcSin(x)]
1/β1-x^2
Cos^-1(x)
[arcCos(x)]
-1/β1-x^2
tan^-1(x)
[arcTan(x)]
1/1+x^2
Cot^-1(x)
[arcCot(x)]
-1/1+x^2
Sec^-1(x)
[arcSec(x)]
1/|x| βx^2-1
Csc^-1(x)
[arcCsc(x)]
-1/|x| βx^2-1
