Common Différentiels Flashcards
Memorize all the common differentiations
1
Q
d/dx [sin(x)]
A
cos(x)
2
Q
d/dx [cos(x)]
A
-sin(x)
3
Q
d/dx [tan(x)]
A
sec²(x)
1/cos²(x)
4
Q
d/dx [sec(x)]
A
tan(x)sec(x)
sin(x)/cos²(x)
5
Q
d/dx [csc(x)]
A
-cot(x)csc(x)
-cos(x)/sin²(x)
6
Q
d/dx [arcsin(x)]
A
1/√(1-x²)
7
Q
d/dx [arccos(x)]
A
-1/√(1-x²)
8
Q
d/dx [arctan(x)]
A
1/1+x²
9
Q
d/dx [eˣ]
A
eˣ
10
Q
d/dx [in(x)]
A
1/x
11
Q
d/dx [xˣ]
A
xˣ[lnx + 1]
12
Q
d/dx [eⁿˣ]
A
neⁿˣ
13
Q
d/dx [eⁿ⁻ˣ]
A
-eⁿ⁻ˣ
14
Q
d/dx [ceˣⁿ]
A
cnxⁿ⁻¹eˣⁿ
15
Q
d/dx [in(5+x)]
A
1/5+x
16
Q
d/dx [cot(x)]
A
-csc²(x)
-1/sin²(x)
17
Q
d/dx [arccotx]
A
-1/1+x²
18
Q
d/dx [arcsecx]
A
1/|x|√(x²-1)
19
Q
d/dx [arccscx]
A
-1/|x|√(x²-1)
20
Q
d/dx [bˣ]
A
bˣ ⋅ ln(b)
21
Q
d/dx [logₐ(x)]
A
1/xln(a)
22
Q
A
