Differentiation (1) Flashcards
1
Q
Differentiation of x^2
A
2x
2
Q
2x
A
Differentiation of x^2
3
Q
Differentiation of x^-2
A
-2x^-3 = - 2/(x^3)
4
Q
-2x^-3 = - 2/(x^3)
A
Differentiation of x^-2
5
Q
Differentiation of x^(1/2)
A
1/2 x^(-1/2)
6
Q
1/2 x^(-1/2)
A
Differentiation of x^(1/2)
7
Q
What is the tangent?
A
The gradient of the curve
8
Q
The gradient of the curve
A
What is the tangent?
9
Q
What is the normal?
A
-1 / tangent
10
Q
-1 / tangent
A
What is the normal?
11
Q
When f’‘(x)<0
A
A maximum and concave
12
Q
A maximum and concave
A
When f’‘(x)<0
13
Q
A minimum and convex
A
When f’‘(x)>0
14
Q
When f’‘(x)>0
A
A minimum and convex
15
Q
What is the differentiation of speed?
A
Acceleration
16
Q
Acceleration
A
What is the differentiation of speed?
17
Q
Formula to differentiate a parametric?
A
(dy/dx) = (dy/dt) / (dx/dt)
18
Q
(dy/dx) = (dy/dt) / (dx/dt)
A
Formula to differentiate a parametric?
