1
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
If y = $\frac{x \sqrt{x^2−16}}{2} − 8 \ln\left|x + \sqrt{x^2−16}\right|$, then what is $\frac{\text{dy}}{\text{dx}}$ equal to ?
2
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
If y = (xx)x, then which one of the following is correct ?
3
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Let f(x) be a function such that f'(x) = g(x) and f''(x) = −f(x). Let h(x) = {f(x)}2 + {g(x)}2. Then consider the following statements :
1. h'(3) = 0
2. h(1) = h(2)
Which of the statements given above is/are correct ?
4
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
If y = ln2$\left(\frac{x^2−x+1}{x^2+x+1}\right)$, then what is $\frac{\text{dy}}{\text{dx}}$ at x = 0 equal to ?
Questions Asked from Differentiation (Marks 2.5)
Number in Brackets after Paper Indicates No. of Questions
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