InterviewSolution
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InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
What is the derivative of `sin^(2)x` with respect to `cos^(2)x`?A. `tan^(2)x`B. `cot^(2)x`C. `-1`D. 1 |
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Answer» Correct Answer - C Let `u=sin^(2)x and v=cos^(2)x` `rArr" "(du)/(dx)=2 sin x cos x=sin 2x` `and (dv)/(dx)=-2 sin x cos x=-sin 2x` `therefore" "(du)/(dv)=(du//dx)/(dv//dx)=(-sin2x)/(sin2x)=-1` |
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| 2. |
What is the derivative of `log_(10)(5x^(2)+3)` with respect to x?A. `(xlog_(10)e)/(5x^(2)+3)`B. `(2xlog_(10)e)/(5x^(2)+3)`C. `(10xlog_(10)e)/(5x^(2)+3)`D. `(10xlog_(e)10)/(5x^(2)+3)` |
| Answer» Correct Answer - C | |