Lesson 1.07s
1.07s Parametric differentiation Quiz: OCR Maths, Unit 7
20 questions
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Lesson 1.07s, Parametric differentiation: 20 multiple choice questions for the OCR Maths (H240), Unit 7: Differentiation, written with Revision Ninja.
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The 20 questions
-
Which expression gives dy/dx for x = f(t), y = g(t)?
- (dy/dt)/(dx/dt)
- dy/dt - dx/dt
- (dy/dt)(dx/dt)
- (dx/dt)/(dy/dt)
-
When differentiating y^2 implicitly with respect to x, which expression results?
- y^2 dy/dx
- 2y dy/dx
- 2y
- 2 dy/dx
-
For x = t^2, y = 2t, what is dy/dx?
- 2t
- t
- 1/t
- 1/(2t)
-
For x = 3t, y = t^3, what is dy/dx?
- 1/t^2
- t^2
- 3t^2
- t^2/3
-
For x = t^2 and y = t^3, what is dy/dx at t = 1?
- 1
- 2/3
- 1.5
- 3
-
For x^2 + y^2 = 25, what is dy/dx at (3, 4)?
- 3/4
- -4/3
- 4/3
- -3/4
-
For xy = 6, what is dy/dx at (2, 3)?
- -2/3
- -6
- -3/2
- 3/2
-
What is the tangent to x^2 + y^2 = 25 at (3, 4)?
- 4x + 3y = 25
- x + y = 7
- 3x + 4y = 25
- 3x - 4y = -7
-
For x = 2 cos t, y = 2 sin t, what is dy/dx at t = pi/4?
- -1
- -sqrt(3)
- 1
- 0
-
For x^3 + y^3 = 9, which expression gives dy/dx?
- x^2/y^2
- -3x^2/y^2
- -y^2/x^2
- -x^2/y^2
-
For x + e^y = 0, what is dy/dx?
- -1
- -e^(-y)
- -e^y
- e^(-y)
-
For x = t + 1 and y = t^2 - 2t, at which point is dy/dx = 0?
- (2, -1)
- (1, -1)
- (2, 1)
- (0, 0)
-
For x = e^t and y = e^(2t), what is dy/dx?
- x^2/2
- x
- 2/x
- 2x
-
For xy + y^2 = 4 at (0, 2), what is dy/dx?
- -1/2
- -2
- 0
- 1/2
-
In parametric differentiation, how is dy/dx expressed in terms of t?
- d2y / dt2
- (dy/dt) * (dx/dt)
- (dy/dt) / (dx/dt)
- (dx/dt) / (dy/dt)
-
For x = 2t, y = t^2, what is dy/dx?
- t/2
- 2t
- 1/t
- t
-
For x = t and y = t^2, what is the tangent at t = 1?
- y = 2x - 1
- y = x
- y = 2x + 1
- y = 2x
-
For x = 3t - 1 and y = t^3, what is dy/dx at t = 2?
- 2
- 12
- 4
- 6
-
What is the gradient of the curve x = 2t + 1, y = 4t - 3?
- 2
- -3
- 4
- 0.5
-
What is the gradient of the normal to x^2 + y^2 = 25 at (3, 4)?
- 4/3
- -4/3
- 3/4
- -3/4
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