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Calculus Quiz

Deleted user 9 questions Updated 8 Oct 2018

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Questions in this quiz (9)

1Find an expression for the gradient of the function \[f(x) = 4x\] by differentiating from first principles.
Answer: [blank_start]4[blank_end]
1. A4
2Which of the following is the derivative of the following equation:
\(y= 6x^2 + ^3 \sqrt{4x^2}\)
1. A\[\frac{dy}{dx}=12x + \frac{8}{3x^3}\]
2. B\[\frac{dy}{dx}=12x + \frac{8x^3}{3}\]
3. C\[\frac{dy}{dx}=12x + \frac{8}{3}\]
3If \(x\) represents displacement and \(t\) represents time, then which of the following represents acceleration?
1. A\( x'(t) \)
2. B\(\frac{dx}{dt}\)
3. C\(x''\)
4The second order derivative is zero at a local maximum.
1. ATrue
2. BFalse
5The derivative of the function \[f(x) = 4x^2 + 5x^3 + 16\] is given by...
1. A\(f'(x) = 8x + 15x^2\)
2. B\(f'(x) = 12x^3 + 15x^4\)
3. C\(f'(x) = 8x + 15x^2 +16\)
6The graph of the derivative of this curve would have which shape?
1. A
2. B
3. C
7Differentiate the following function:\[f(x) = \frac{3x^2+18x+8}{3x+2}\].
\(f'(x)\) = [blank_start]1[blank_end]
1. A1
8What is the gradient of the normal to the curve \[y= x^4 + 3x^2\] at the point \((1, 4)\)?
The gradient is [blank_start]-1/10[blank_end].
1. A-1/10
9Evaluate the following integral:
\[\int ^5_3 6x^2dx\]
Answer: [blank_start]96[blank_end]
1. A96

Description: User has deleted their subject information Quiz on Calculus Quiz, created by Deleted user on 16/08/2017.
Author: Deleted user
Language: English
Views: 53
History: Created on 16 Aug 2017 · updated on 8 Oct 2018
Tags: user has deleted their subject information