Methods of Differentiations questions
285 published questions with worked solutions.
- If e^x+e^y=e^ x+y , then dy dx =
- If x= a^ ^ -1 t and y= a^ ^ -1 t , then dy dx =
- If (x+y)= xy+3, then dy dx =
- If xy= ^ -1 (xy)+ ^ -1 (xy), then ( dy dx )_ (4,2) = (where x, y, IR)
- If x^ y =e^ x-y , then dy dx =
- The second derivative of a ^ 3 t w.r.t. a ^ 3 t at t= 4 is
- d dx ( 1- x 1+ x ) =
- If x = e^ ( x y ) , then dy dx =
- If x= - and y= ^ n - ^ n , then ( dy dx )^ 2 is equal to
- If y=(x^ x )^ x , then dy dx =
- If y=e^ ^ -1 ( 1-x^ 2 ) , then 1 y dy dx =
- If x^y y^x = 16 then dy dx at (2, 2) is
- The derivative of ^ -1 ( 1+x - 1-x 1+x + 1-x ) is
- If y= ^2 ( 5x 2 )- ^2 ( 5x 2 ), then d^2y dx^2 =
- If (x+y) = (xy) + a, where a is constant, then dy dx at x = 2 and y = 4 is
- If f(x) = b e^ ax + a e^ bx , then f''(0) =
- If y is a function of x and (x + y) = 2xy, then the value of y'(0) is
- If g is the inverse of f and f'(x) = 1 1 + x^3 , then g'(x) is
- The rate of change of x^2+16 with respect to x x-1 at x = 5 is
- If x^2+y^2=t+ 1t and x^4+y^4=t^2+ 1 t^2 then dy dx is equal to
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