Test

Differentiation quiz

Vivienne Holmes 10 preguntas Actualizado el 26 oct 2016

Hacer el test

Este test tiene tipos de pregunta que se abren en el reproductor de siempre.

Preguntas del test (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. AVerdadero
2. BFalso