MHT CET20225 Aug 2022Morning ShiftMathematicsDifferentiationActual
d d x ( ⁻¹ (3 x-4 x^3 ) ), 1 2
Options
- A1 3 1-x^2
- B-3 1-x^2
- C-1 3 1-x^2
- D3 1-x^2
Correct answer
B. -3 1-x^2
Step-by-step solution
aligned & d ( ⁻¹ (3 x -4 x ^3 ) ) dx & = d ( -3 ⁻¹ x ) dx [ as 1 2 < x <1 ]= -3 1- x ^2 aligned
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The domain of the derivative of the function f(x)= x 1+|x| is 2025If x= 2^ cosec ⁻¹ t and y= 2^ ⁻¹ t ,|t| 1 then d y d x = 2025If (a+ 2 b x)(a- 2 b y)=a^2-b^2 where a>b>0 , then at ( 4 , 4 ) , dy dx = 2025If x y - y x =0 , then d y d x = 2025If y = ( _ x x )^ x , then dy dx = 2025If f(x)=x^ Sec ⁻¹ x , then f^ (2)= 2025If y= x^4 3 x-5 (x^2-3 )(2 x-3) , then ( d y d x )_ x=2 = 2025If x^2+y^2+ y=4 , then the value of d^2 y d x^2 at x=-2 is 2025
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Options
- A1 3 1-x^2
- B-3 1-x^2
- C-1 3 1-x^2
- D3 1-x^2
Correct answer
B. -3 1-x^2
Step-by-step solution
aligned & d ( ⁻¹ (3 x -4 x ^3 ) ) dx & = d ( -3 ⁻¹ x ) dx [ as 1 2 < x <1 ]= -3 1- x ^2 aligned