Lesson 7.2.1
7.2.1 Differentiating x^n for rational n Quiz: Pearson Edexcel Maths, Unit 7
20 questions
In partnership with Revision Ninja
Lesson 7.2.1, Differentiating x^n for rational n: 20 multiple choice questions for the Pearson Edexcel Maths (9MA0), Unit 7: Differentiation, written with Revision Ninja.
Host it live on the board and students join with a game code on their own devices, or revise alone with Free Play. The answers are revealed in the game.
The 20 questions
-
What is the derivative of x raised to the power of n with respect to x?
- nx^(n-1)
- nx^n
- n^x
- x^(n-1)
-
What is the derivative of x^4?
- x^3
- 4x^4
- 4x^3
- 3x^4
-
Differentiate y = x^5 with respect to x.
- 5x^4
- 5x^5
- 4x^5
- x^4
-
What is the derivative of 3x^2?
- 3x^3
- 3x
- 6x
- 6x^2
-
Differentiate 4x^3 with respect to x.
- 12x^3
- 4x^2
- 7x^2
- 12x^2
-
What is the derivative of 1 over x squared, written as x^(-2)?
- -3x^(-2)
- -2x^(-1)
- -2x^(-3)
- 2x^(-3)
-
Differentiate the square root of x, expressed as x^(1/2).
- 1.5x^(0.5)
- 0.5x^(0.5)
- 2x^(0.5)
- 0.5x^(-0.5)
-
What is the gradient function of f(x) = x^(3/2)?
- 1.5x^(0.5)
- 0.5x^(1/2)
- 3/2x^(-0.5)
- 1.5x^(3/2)
-
Find the derivative of 5x^(-4) with respect to x.
- -5x^(-5)
- -20x^(-5)
- -20x^(-3)
- 20x^(-5)
-
What is the gradient of the curve y = x^3 at the point where x = 2?
- 24
- 6
- 8
- 12
-
Find the rate of change of y = 4sqrt(x) when x = 4.
- 1
- 2
- 4
- 0.5
-
What is the derivative of a constant term such as 7 with respect to x?
- 7
- 0
- x
- 1
-
Differentiate f(x) = 2x^3 - 4x with respect to x.
- 6x^2 - 4x
- 6x - 4
- 2x^2 - 4
- 6x^2 - 4
-
Find the derivative of (2/3)x^3 with respect to x.
- (2/3)x^2
- 2x^3
- 2x^2
- 6x^2
-
What is the derivative of x^(-1)?
- x^(-2)
- -x^(-1)
- -x^(-2)
- -2x^(-2)
-
Differentiate y = 3 / x with respect to x.
- -2x^(-3)
- -3x^(-2)
- -3x^(-1)
- 3x^(-2)
-
What power of x appears in the derivative of x^(2/3)?
- -2/3
- -1/3
- 2/3
- 1/3
-
Differentiate 5x^(4/5) with respect to x.
- 4x^(1/5)
- 5x^(-1/5)
- 4x^(-1/5)
- 4x^(4/5)
-
What is the second derivative of x^4 with respect to x?
- 24x
- 12x^3
- 4x^3
- 12x^2
-
What is the derivative of 6x^(1/3) with respect to x?
- 18x^(-2/3)
- 2x^(-2/3)
- 2x^(1/3)
- 6x^(-2/3)
Related quizzes
- Derivative as the gradient of a tangent Quiz · 7.1.1 · 20 questions
- Applying differentiation to gradients, tangents and normals Quiz · 7.3.1 · 20 questions
- Product, quotient and chain rules Quiz · 7.4.1 · 20 questions
- Differentiating implicit and simple functions Quiz · 7.5.1 · 20 questions
- Constructing simple differential equations Quiz · 7.6.1 · 20 questions
- Structure of mathematical proof and methods of proof Quiz · 1.1.1 · 20 questions
- Vectors in two and three dimensions Quiz · 10.1.1 · 20 questions
- Laws of indices for all rational exponents Quiz · 2.1.1 · 20 questions
- Straight lines and their equations Quiz · 3.1.1 · 20 questions
- Binomial expansion Quiz · 4.1.1 · 20 questions