derivatives of log/inverse trig functions Flashcards
1
Q
d/dx [log x]
A
= 1/xlnb
2
Q
d/dx [ln x]
A
1/x
3
Q
d/dx [ln g(x)]
A
gā(x)/g(x)
4
Q
d/dx ln |x|
A
= 1/x
5
Q
e
A
= lim x-> 0 (1 + x^1/x
6
Q
for n=1/x
e =
A
lim x->oo (1 + 1/n)^n
7
Q
d/dx [sin^-1 x]
A
1/sqrtx(1-x^2)
8
Q
d/dx (cos^-1 x)
A
-1/sqrt(1-x^2)
9
Q
d/dx (tan^-1x)
A
1/1+x^2
10
Q
d/dx (csc^-1 x)
A
-1/xsqrt(x^2-1)
11
Q
sec^-1x
A
1/xsqrt(x^2 - 1)
12
Q
d/dx (cot^-1 x)
A
-1/1+x^2
13
Q
d/dx [b^x]
A
b^x lnb
