Further Differentiation Flashcards
1
Q
What is the long winded method of chain rule?
A
- Make substitution of u=
- Find du/dx
- Find dy/du
- Multiply the two together
2
Q
What is the fast way for using chain rule?
A
- Differentiate the “inside function” and put this outside
- Differentiate the outside function normally
3
Q
Differentiate using fast method
A
4
Q
Differentiate using fast method
A
5
Q
What is the method for product rule?
A
6
Q
A
7
Q
A
8
Q
What’s the quotient rule?
A
9
Q
A
10
Q
A
11
Q
What is the gradient of the inverse of a function?
A
12
Q
A
13
Q
Prove that the derivative of ln(x) is 1/x
A
14
Q
What is the derivative of a ^x?
A
ln of the base times Orginal
ln(a) a^x
15
Q
A
ln of base times k times original
16
Q
A
17
Q
A
18
Q
A
19
Q
A
20
Q
A
21
Q
Using implicit differentiation
A
22
Q
A
23
Q
A
24
Q
A
