These University differentiation and its applications multiple choice questions check your understanding of differentiation and its applications with 10 questions for pupils aged 18-19. Each question has four answers, and the right one is explained as soon as you choose.
University differentiation and its applications multiple choice questions: the 10 questions
\(\frac d{dx}(x\ln x)=\)
If \(f\) is differentiable at \(a\) then \(f\) is
The MVT guarantees a point where \(f'(c)=\)
The Maclaurin series of \(\cos x\) begins
\(\lim_{x\to0}\frac{\sin x-x}{x^3}=\)
At a stationary point \(f''(c)>0\) means
\(|x|\) at 0 is
\(\frac{d}{dx}\arctan x=\)
L'Hopital's rule applies to a limit of the form
Rolle's theorem needs
How to use these University differentiation and its applications multiple choice questions
First, read each question carefully before you look at the four answers. Then work the answer out on paper, so that you do not simply guess. After that, read the explanation, even when you are right. If you score less than 7 out of 10, go back to the differentiation and its applications lesson.
Finally, practise more with the differentiation and its applications worksheet and the quiz. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.
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