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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

6 years ago


Answers : (1)


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)



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Sagar Singh

B.Tech, IIT Delhi

6 years ago

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