Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET20228 Aug 2022Evening ShiftMathematicsDifferentiationActual

If y= ⁻¹ ( 5 x+1 3-x-6 x^2 ) , then d y d x =

Options

  1. A3 9 x^2+12 x+5 + 1 2 x^2-2 x+1
  2. B1 9 x^2+12 x+5 + 1 4 x^2-4 x+2
  3. C1 9 x^2+12 x+5 - 1 4 x^2-4 x+2
  4. D3 9 x^2+12 x+5 - 1 2 x^2-2 x+1

Correct answer

A. 3 9 x^2+12 x+5 + 1 2 x^2-2 x+1

Step-by-step solution

aligned & y= ⁻¹ ( 5 x+1 3-x-6 x^2 )= ⁻¹ (3 x+2)+(2 x-1) 1-(3 x+2)(2 x-1) & y= ⁻¹(3 x+2)+ ⁻¹(2 x-1) & d y ~d x = 1 1+(3 x+2) 3+ 1 1+(2 x-1)^2 2 & d y ~d x = 3 9 x^2+12 x+5 + 2 4 x^2-4 x+2 & d y ~d x = 3 9 x^2+12 x+5 + 1 2 x^2-2 x+1 aligned

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 MHT CET PYQs