Derivative rules Flashcards
1
Q
Derivative of:
Cos 𝓧
A
-sin 𝓧
2
Q
Derivative of:
Tan 𝓧
A
Sec^2 𝓧
3
Q
Derivative of:
Cot 𝓧
A
-csc^2 𝓧
4
Q
Derivative of:
Sec 𝓧
A
Sec 𝓧 tan 𝓧
5
Q
Derivative of:
Sin 𝓧
A
cos𝓧
6
Q
Derivative of:
Csc 𝓧
A
-csc 𝓧 cot 𝓧
7
Q
Constant Rule
f(x)= K
A
F(x)= 0
~Any constant
8
Q
Power Rule
f(x)= X^n
A
f’(x)= nX^(n-1)
9
Q
Constant Multiple Rule
f(x)=Ku
A
f’(x)=K(u’(x))
10
Q
Sum Rule
f(x)=u(x)+v(x)
A
f’(x)=u’(x)+v’(x)
11
Q
Difference Rule
f(x)=U(x)-V(x)
A
f’(x)=U’(x)-V’(x)
12
Q
Exponential Function
f(x)=b^x
A
f’(x)= (Inb)b^x
13
Q
Natural Exponential function
f(x)=e^x
A
f’(x)=e^x
14
Q
Logarithmic Fuction
f(x)=logb(x)
A
f’(x)=1/(Inb)x
15
Q
Natural log
f(x)=In(x)
A
f’(x)=1/x
