Lesson 6.2.1
6.2.1 Exponential functions e^kx and their gradients Quiz: Pearson Edexcel Maths, Unit 6
20 questions
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Lesson 6.2.1, Exponential functions e^kx and their gradients: 20 multiple choice questions for the Pearson Edexcel Maths (9MA0), Unit 6: Exponentials and logarithms, written with Revision Ninja.
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The 20 questions
-
What is the derivative of e to the power of 3x with respect to x?
- 3e^(3x)
- e^(3x)
- e^(3)
- 3x e^(3x)
-
What is the gradient of the curve y equals e to the power of minus 2x at x equals zero?
- 2
- 0
- -2
- 1
-
What is the exact value of the constant e to four significant figures?
- 2.718
- 3.142
- 1.414
- 2.236
-
What transformation maps the graph of y = e^x to y = e^(2x)?
- Vertical stretch
- Horizontal stretch
- Reflection
- Translation
-
What is the y-intercept of the general exponential function y equals A times e to the power of kx?
- A
- 0
- 1
- k
-
What is the second derivative of y equals 5e to the power of 4x?
- 80e^(4x)
- 4e^(4x)
- 20e^(4x)
- 5e^(4x)
-
What is the value of x when the tangent to y equals e to the power of x has a gradient of 1?
- 0
- ln(2)
- 1
- e
-
What is the integral of e to the power of 5x with respect to x?
- e^(5x)
- 5e^(x)
- 5e^(5x)
- 0.2e^(5x)
-
For what values of k does y equals e to the power of kx represent exponential growth?
- k < 0
- k not equal to 0
- k > 0
- k = 0
-
What is the exact gradient of y equals 4e to the power of 0.5x at x equals 2?
- e
- 2
- 4e
- 2e
-
What is the asymptote of the standard exponential curve y equals e to the power of x?
- y = 0
- y = 1
- x = 0
- x = 1
-
If f(x) equals e to the power of minus x, what is f double prime of x?
- -e^(-x)
- -x e^(-x)
- 1
- e^(-x)
-
What is the rate of change of y equals 3e to the power of 2x when x equals ln(3)?
- 54
- 6
- 27
- 18
-
What is the limit of x times e to the power of minus x as x approaches infinity?
- e
- 0
- 1
- Infinity
-
What is the derivative of y equals e to the power of x squared?
- 2e^(x^2)
- e^(2x)
- 2x e^(x^2)
- x^2 e^(x^2)
-
Find the x-coordinate where the normal to y equals e to the power of x at x equals 1 has gradient -1/e.
- -1
- e
- 1
- 0
-
What is the exact value of x for the turning point of y equals x times e to the power of x?
- -1
- e
- 0
- 1
-
What is the domain of the standard exponential function y equals e to the power of x?
- x > 0
- x >= 0
- All real numbers
- x != 0
-
What is the range of the function y equals e to the power of x minus 3?
- All real numbers
- y > 0
- y >= 0
- y > -3
-
What is the exact gradient of y equals e to the power of 2x plus 3e to the power of x at x equals 0?
- 3
- 4
- 5
- 2
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