Lesson 7.4.1
7.4.1 Product, quotient and chain rules Quiz: Pearson Edexcel Maths, Unit 7
20 questions
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Lesson 7.4.1, Product, quotient and chain rules: 20 multiple choice questions for the Pearson Edexcel Maths (9MA0), Unit 7: Differentiation, written with Revision Ninja.
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The 20 questions
-
What is the standard formula used for differentiating the product of two functions u and v?
- u' v + v' / u
- u' v'
- u v' + v u'
- u v' - v u'
-
Which differentiation rule should be used to differentiate y = sin(x) / x^2?
- Chain rule
- Power rule
- Quotient rule
- Product rule
-
What is the formula for the quotient rule when differentiating u divided by v?
- (u v + u' v') / v
- (u' v') / v^2
- (v u' - u v') / v^2
- (u v' - v u') / v^2
-
What rule is required to differentiate a composite function such as y = (3x + 1)^5?
- Chain rule
- Quotient rule
- Product rule
- Factor theorem
-
What is the alternative expression for dy/dx when applying the chain rule with parameter u?
- dy/dx + du/dx
- dy/du / du/dx
- dy/du * du/dx
- du/dx * dx/dy
-
Differentiate y = (2x + 3)^4 with respect to x using the chain rule.
- 2(2x + 3)^3
- 4(2x + 3)^3
- 8(2x + 3)^3
- 8(2x + 3)^4
-
What is the derivative of y = e^(4x) with respect to x?
- 4e^(4x)
- 1/4 e^(4x)
- e^(4x)
- 4xe^(4x-1)
-
Differentiate y = ln(5x) with respect to x using the chain rule.
- 5
- 1 / x
- 1 / 5x
- 5 / x
-
What is the derivative of y = sin(3x) with respect to x?
- -3cos(3x)
- 3cos(3x)
- cos(3x)
- 3sin(3x)
-
Find the derivative of y = x^2 * e^x using the appropriate rule.
- x^2 e^x + 2x e^x
- 2x e^x
- x^2 e^x
- 2x * e^x
-
What is the derivative of y = cos^2(x) when applying the chain rule?
- 2cos(x)sin(x)
- -sin^2(x)
- -2cos(x)sin(x)
- 2cos(x)
-
Differentiate y = x / (x + 1) using the quotient rule.
- -1 / (x + 1)^2
- (2x + 1) / (x + 1)^2
- 1 / (x + 1)^2
- 1 / (x + 1)
-
What is dy/dx if y = (x^2 + 1)^10?
- 2x(x^2 + 1)^9
- 20x(x^2 + 1)^9
- 10x(x^2 + 1)^9
- 10(x^2 + 1)^9
-
What is the derivative of y = tan(4x) with respect to x?
- 4sec^2(4x)
- 4tan^2(4x)
- 4cosec^2(4x)
- sec^2(4x)
-
Differentiate y = x * ln(x) using the product rule.
- x / ln(x)
- ln(x)
- ln(x) + 1
- 1 / x
-
What is the derivative of y = e^(x^2) with respect to x?
- 2x e^(2x)
- 2x e^(x^2)
- e^(x^2)
- x^2 e^(x^2-1)
-
Find dy/dx for y = (3x - 2)^(-2) using the chain rule.
- 6(3x - 2)^(-3)
- -3(3x - 2)^(-3)
- -2(3x - 2)^(-3)
- -6(3x - 2)^(-3)
-
What is the derivative of y = cos(5x) with respect to x?
- -5sin(5x)
- 5cos(5x)
- -sin(5x)
- 5sin(5x)
-
What is the derivative of y = 3 / x^2 written in index form using the quotient rule principle?
- -3x^(-3)
- -6x^(-1)
- 6x^(-3)
- -6x^(-3)
-
What is dy/dx if y = sqrt(4x + 1) expressed using indices and the chain rule?
- 1 / sqrt(4x + 1)
- 2(4x + 1)^(-1/2)
- 2 / sqrt(4x + 1)
- 4 / sqrt(4x + 1)
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