JEE Mathematics Derivative MCQs

Question: If y = sin^–1(2x/1+x²) then dy/dx equals

• a) 2/1+ x²2/1+ x²
• b) 2x/1+ x²
• c) 2x/1+ x
• d) None of these

Answer: 2/1+ x²2/1+ x²

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a) 2
• b) 1/1+x²
• c) 2/1+x²
• d) None of these

Answer: 2

Question:

• a) cos x/2y -1
• b) cos x/2y +1
• c) sin x/2y +1
• d) None of these

Answer: cos x/2y -1

Question:

• a) b/a (b + 2y)
• b) a/b(a + 2y)
• c) None of these
• d) a/b(b + 2y)

Answer: b/a (b + 2y)

Question:

• a) 1, 2 and 3 are correct
• b) 2 and 4 are correct
• c) 1 and 2 are correct
• d) 1 and 3 are correct

Answer: 1, 2 and 3 are correct

Question:

• a) 1, 2 and 3 are correct
• b) 2 and 4 are correct
• c) 1 and 2 are correct
• d) 1 and 3 are correct

Answer: 1, 2 and 3 are correct

Question:

• a) 1, 2 and 3 are correct
• b) 2 and 4 are correct
• c) 1 and 2 are correct
• d) 1 and 3 are correct

Answer: 1, 2 and 3 are correct

Question:

Statement 2 : Derivative of constant function is zero.

• a) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.
• b) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.
• c) Statement -1 is False, Statement-2 is True.
• d) Statement -1 is True, Statement-2 is False.

Answer: Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.

More Questions.............................

Question:

• a) Statement -1 is False, Statement-2 is True.
• b) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.
• c) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.
• d) Statement -1 is True, Statement-2 is False.

Answer: Statement -1 is False, Statement-2 is True.

Question:

• a) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.
• b) Statement -1 is True, Statement-2 is False.
• c) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.
• d) None of these

Answer: Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.

Question:

• a) tan²θ
• b) sec²θ
• c) secθ
• d) None of these

Answer: tan²θ

Question:

• a) 1 + xy
• b) xy – 2
• c) x + y
• d) 1 – xy

Answer: 1 + xy

Question: If y = 1/x²-a² then d²y/dx² equals-

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: If y = sec x tan x/ sec x tan x, then dy/dx equals

• a) – 2 sec x (sec x – tan x)²
• b) – 2 sec x ( sec x + tan x)²
• c) 2 sec x (sec x – tan x)²
• d) 2 sec x (sec x + tan x)²

Answer: – 2 sec x (sec x – tan x)²

Question:

• a)

  

• b) 1/(1+ x)²
• c) Both
• d) None of these

Answer:

Question: If y = sin^–1 √sin x , then dy/dx equals-

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: If y = log_x10, then the value of dy/dx equals-

• a)

  

• b) 1/x
• c) 10/x
• d) 1/(x log_e 10)

Answer:

Question: If cos (xy) = x ,then dy/dx is equal to -

• a)

  

• b) y sin (xy)/x
• c) y cosec (xy)/x
• d) y cos (xy)/x

Answer:

Question: If x² e^y + 2xyex + 13 = 0, then dy/dx equals-

• a)

  

• b)

  

• c)

  

• d) None of these

Answer:

Question: If y = (1 + x^1/4) (1 + x^1/2) (1 – x^1/4), then dy/dx equals-

• a) –1
• b) x
• c) 1
• d) None of these

Answer: –1

Question: If x = a (Θ + sin Θ ), y = a (1–cos Θ ), then dy/dx equals-

• a)

  

• b)

  

• c) Both
• d) None of these

Answer:

Question:  If y = log (e^x/e^x+1), then dy/dx equals-

• a) 1/e^x +1
• b) 1/(e^x +1)²
• c) Both
• d) None of these

Answer:  1/e^x +1

Question: If x^y y^x = 1, then dy/dx equals-

• a)

  

• b)

  

• c) None of these
• d) Both

Answer:

Question: If x = e tan-1(y-x²/x²) ,then dy/dx equals-

• a) 2x [1 + tan (logx)] + x sec² (logx)
• b) 2x [1+ tan (log x)] + x sec (log x)
• c) None of these
• d) x [1+ tan (log x)] + sec² (logx)

Answer: 2x [1 + tan (logx)] + x sec² (logx)

Question: If y = tan^-1 3x -x³/1-3x² , then dy/dx equals-

• a) 3/1+ x²
• b) 3x
• c) tan 3x
• d) None of these

Answer: 3/1+ x²