Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET202124 Aug 2021Evening ShiftMathematicsDifferentiationActual

If y=( x)^ x , then d y d x is equal to

Options

  1. A( x)^ x x+( x)( ( x))
  2. B( x)^ x x+( x)( ( x))
  3. C( x)^ x x-( x)( ( x))
  4. D( x)^ x x-( x)( ( x))

Correct answer

A. ( x)^ x x+( x)( ( x))

Step-by-step solution

We have, y=( x)^ x y=e^ x x d y d x =e^ x x ( x x ^2 x+ x x ) d y d x =( x)^ x ( x+ x x)

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