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1.        The function f(x) = (x2 – 1) |x2 – 3x + 2| + cos (|x|) is not differentiable at :
(A)       x = –1                                      (B)      x = 0
(C)       x = 1                                        (D)      x = 2

2.        y = 2-logz(x3-5) , then dy/dx is
(A)      -3x2/(x3-5)2                             (B)      x2/(x3-5)2
(C)       3x2/(x3-5)2                             (D)     none of these

3.        y = esin 2x, then dy/dx is
(A) x cos 2x                                        (B) 2y cos 2x
(C) xy cos 2x                                      (D) none of these

4.        y = (sinx + cosx)x , then dy/dx is
(A)  y(sinx + cosx)                             (B)  y{log y/x + x(cosx - sinx)/(sin x+cos x)}
(C)  y(log y/x + y2 )                            (D) none of these

5.        y = eloge(sin-1x + cos-1x), then dy/dx is
(A) 5                                                    (B) 2
(C) 0                                                    (D) none of these```
7 years ago

SAGAR SINGH - IIT DELHI
879 Points
```										Dear kanika,
1)The function is not differentiable at the critical points or sudden turn is there in the curve..
c) is the correct choice.
2)the correct answer is a) becoz the differentiation of 1/x is -1/x^2.use this property
and logaa=1 and alogax =x

3)The correct choice is b)
4) The correct choice is b)
5)c)

All the best.
Win exciting gifts by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian.

Sagar Singh
B.Tech, IIT Delhi
```
7 years ago
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