Differentiation (3) Flashcards
1
Q
What is (dy/dx) cosec x?
A
-cosec x cot x
2
Q
-cosec x cot x
A
What is (dy/dx) cosec x?
3
Q
What is (dy/dx) sec x?
A
sec x tan x
4
Q
sec x tan x
A
What is (dy/dx) sec x?
5
Q
What is (dy/dx) cot x?
A
-cosec^2 x
6
Q
-cosec^2 x
A
What is (dy/dx) cot x?
7
Q
What is f’(x) arcsin x?
A
1/¬(1-x^2)
8
Q
1/¬(1-x^2)
A
What is f’(x) arcsin x?
9
Q
What is f’(x) arccos x?
A
- (1/¬(1-x^2))
10
Q
- (1/¬(1-x^2))
A
What is f’(x) arccos x?
11
Q
What is f’(x) arctan x?
A
1/(1+x^2)
12
Q
1/(1+x^2)
A
What is f’(x) arctan x?
13
Q
Differentiate f(x) = x^2 from first principles
A
f’(x) = lim ((x+h)^2 - x^2)/(h)
14
Q
f’(x) = lim ((x+h)^2 - x^2)/(h)
A
Differentiate f(x) = x^2 from first principles
15
Q
Product rule?
A
dy/dx = u * dv/dx + v * du/dx
16
Q
dy/dx = u * dv/dx + v * du/dx
A
Product rule?
17
Q
Quotient rule?
A
dy/dx = ((v(du/dx)) - (u(dv/dx)))/v^2
18
Q
dy/dx = ((v(du/dx)) - (u(dv/dx)))/v^2
A
Quotient rule?
