Vivienne Holmes
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High level quiz to test concepts of differentiation

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Vivienne Holmes
Created by Vivienne Holmes about 8 years ago
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Differentiation quiz

Question 1 of 10

1

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If y = x^2 + 3x + 2
dy/dx= x +

Explanation

Question 2 of 10

1

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If asked to differentiate y= (x+3)^2,
I would use the rule

Explanation

Question 3 of 10

1

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If asked to differentiate y= (x+1)/(x^2 - 2),
I would use the rule

Explanation

Question 4 of 10

1

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The gradient of a tangent is 1/3.
The gradient of its normal is

Explanation

Question 5 of 10

1

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If f(x) = X^2 + 2x + 1, the value of x, dy/dx = x+.
This means the gradient of the curve is 0 when x =

Explanation

Question 6 of 10

1

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y = ln(3x^2)
y= ln + lnx
dy/dx =

Explanation

Question 7 of 10

1

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y = sin 3x
dy/dx =

Explanation

Question 8 of 10

1

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f(x) = tan2x
f'(x) = sec^2()

Explanation

Question 9 of 10

1

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f(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 = )
f''(x) = - x
When x=0, stationary point is a because at x=0, f''(x) is positive.

Explanation

Question 10 of 10

1

The second derivative of a function is also known as dy^2/dx^2

Select one of the following:

  • True
  • False

Explanation