Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET202315 May 2023Evening ShiftMathematicsDifferentiationActual

If f(x+a y)+g(x-a y)=0 , then a d y d x =

Options

  1. Af^ (x-a y)+g^ (x+a y) g^ (x+a y)-f^ (x-a y)
  2. Bf^ (x+a y)+g^ (x-a y) g^ (x-a y)-f^ (x+a y)
  3. Cf^ (x+a y) g^ (x-a y) f^ (x+a y)+g^ (x-a y)
  4. Df^ (x+a y)+g^ (x-a y) f^ (x+a y) g^ (x-a y)

Correct answer

B. f^ (x+a y)+g^ (x-a y) g^ (x-a y)-f^ (x+a y)

Step-by-step solution

Given, f(x+a y)+g(x-a y)=0 differentiating w.r. to x aligned & f^ (x+a y) (1+a y^ )+g^ (x-a y)(1-a y)=0 & a y^ (f^ (x+a y)-g^ (x-a y)+f(x+a y)+g^ (x-a y)=0 . & a y^ = f^ (x+a y)+g^ (x-a y) g^ (x-a y)-f^ (x+a y) 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 AP EAMCET PYQs