Derivatives Flashcards
0
Q
f(x)=kx
f’(x)=?
A
f’(x)=k
1
Q
f(x)=k
f’(x)=?
A
f’(x)=0
2
Q
f(x)=x^k
f’(x)=?
A
f’(x)=kx^(k-1)
3
Q
f(x)=lnx
f’(x)=?
A
f’(x)=1/x
4
Q
f(x)=log a x
f’(x)=?
A
f’(x)=1/(x lna)
5
Q
f(x)=e^x
f’(x)=?
A
f’(x)=e^x
f(x)=f’(x)
6
Q
f(x)=a^x
f’(x)=?
A
f’(x)=a^x lna
7
Q
f(x)=sinx
f’(x)=?
A
f’(x)=cosx
8
Q
f(x)=cosx
f’(x)=?
A
f’(x)=-sinx
9
Q
f(x)=tanx
f’(x)=?
A
f’(x)=sec^2 x
10
Q
f(x)=cscx
f’(x)=?
A
f’(x)=-cotx cscx
11
Q
f(x)=secx
f’(x)=?
A
f’(x)=tanx secx
12
Q
f(x)=cotx
f’(x)=?
A
f’(x)=-csc^2 x
