Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET202123 Aug 2021Morning ShiftMathematicsDifferentiationActual

If y= ⁻¹ ( a x-b x b x+a x ) , then d y d x is equal to

Options

  1. A0
  2. Ba b
  3. C-1
  4. D2

Correct answer

C. -1

Step-by-step solution

y= ⁻¹ ( a x-b x b x+a x ) = ⁻¹ ( a b- x 1+ a b x ) [Take b x common from numerator and denominator] array rlrl & = ⁻¹ ( - x 1+ x ) & [ Let a b = ] & = ⁻¹( -x )= -x & & [ a b = ] y & = ⁻¹ a b -x & d y d x & =0-1=-1 & array

Practice Differentiation on Quantrex Academy →

More from Differentiation

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 Full Differentiation list All AP EAMCET PYQs