Quiz

Differentiation quiz

Vivienne Holmes 10 perguntas Atualizado em 26 out 2016

Fazer o quiz

Este quiz tem tipos de pergunta que abrem no player de sempre.

Perguntas do quiz (10)

1If y = x^2 + 3x + 2
dy/dx= [blank_start]2[blank_end]x + [blank_start]3[blank_end]
1. A2
2. B3
2If asked to differentiate y= (x+3)^2,
I would use the [blank_start]chain[blank_end] rule
1. Achain
3If asked to differentiate y= (x+1)/(x^2 - 2),
I would use the [blank_start]quotient[blank_end] rule
1. Aquotient
4The gradient of a tangent is 1/3.
The gradient of its normal is [blank_start]-3[blank_end]
1. A-3
5If f(x) = X^2 + 2x + 1, the value of x, dy/dx = [blank_start]2[blank_end]x+[blank_start]2[blank_end].
This means the gradient of the curve is 0 when x = [blank_start]-1[blank_end]
1. A2
2. B2
3. C-1
6y = ln(3x^2)
y= ln[blank_start]3[blank_end] + [blank_start]2[blank_end]lnx
dy/dx = [blank_start]2/x[blank_end]
1. A3
2. B2
3. C2/x
7y = sin 3x
dy/dx = [blank_start]3[blank_end][blank_start]cos[blank_end][blank_start]3x[blank_end]
1. Acos
2. B3x
3. C3
8f(x) = tan2x
f'(x) = [blank_start]2[blank_end]sec^2([blank_start]2x[blank_end])
1. A2
2. B2x
9f(x) = 3x^2-x^3
f'(x) = 6x-3x^2
Stationary points are at values of x for which f'(x) = 0, (x = 0 or x = [blank_start]2[blank_end])
f''(x) = [blank_start]6[blank_end] - [blank_start]6[blank_end]x
When x=0, stationary point is a [blank_start]minimum[blank_end] because at x=0, f''(x) is positive.
1. A2
2. B6
3. C6
4. Dminimum
10The second derivative of a function is also known as dy^2/dx^2
1. AVerdadeiro
2. BFalso