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1. The function f(x) = (x 2 – 1) |x 2 – 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) -3x 2 /(x 3 -5) 2 (B) x 2 /(x 3 -5) 2 (C) 3x 2 /(x 3 -5) 2 (D) none of these 3. y = e sin 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 + y 2 ) (D) none of these 5. y = e log e (sin-1x + cos-1x) , then dy/dx is (A) 5 (B) 2 (C) 0 (D) none of these

 


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

Grade:12

1 Answers

SAGAR SINGH - IIT DELHI
878 Points
13 years ago

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)

 

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Sagar Singh

B.Tech, IIT Delhi

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