Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET202318 May 2023Evening ShiftMathematicsDifferentiationActual

f(x) and g(x) are differentiable functions such that f(x) g(x) = a non zero constant. If f ^ ( x ) g ^ ( x ) = ( x ) and ( f ( x ) g ( x ) )^ = ( x ) , then (x)- (x) (x)+ (x) =

Options

  1. A0
  2. Bf(x)+g(x)
  3. C1
  4. Df ^ ( x )+ g ^ ( x )

Correct answer

C. 1

Step-by-step solution

aligned & f ^ ( x ) g ^ ( x ) = ( x ) & ( f ( x ) g ( x ) )^ = ( x ) & f ( x ) g ( x ) = a non-zero constant, & ( f ( x ) g ( x ) )^ =0 ( x )=0 aligned Now, (x)- (x) (x)+ (x) = (x)-0 (x)+0 =1

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