Methods of Differentiations questions
285 published questions with worked solutions.
- If 3y^ 2 -2xy-x=0, then the value of dy dx at y = 2 is...
- If x^ m +y^ m =k,(m 1) and y''= ax^ b y^ c such that a+b+c=0, then the value of k is...
- If y= ^ -1 ( 1+ 5x 5x ), then the value of dy dx is
- Let x=at^2-1, where a>0 and y=t^3+1. If at t=1, d^2y dx^2 = 3 16 , then the value of a is…
- If y= (2 ^ -1 x) then dy dx =…
- If a(4+x^2) = x and y - x^3 = a^2 then dy dx at x=1 is...
- If x^y+y^x=a^b, then dy dx at x = 1, y = 2 is
- If u= ^ -1 x ^ -1 x+1 and v= ^ -1 ( ^ -1 x) then du dv =.....
- If y = x^x + x^ 1 x , then dy dx is equal to
- If x=a ^3 t and y=a ^3 t, then the value of d^2y dx^2 at t= 3 is equal to
- If x=4t^3+3, y=3t^4+4 and d^2x dy^2 ( dx dy )^n is constant then the value of n is
- If x y + y x =6, then dy dx =
- If y= [2 ^ -1 ( 1-x 1+x ) ] then dy dx =.......
- The derivative of f( x) with respect to g( x) at x= 4 , given that f' ( 1 2 )=3 and g'( 2 )=1 is…
- If y = (x^2 + 1)^ x for x > 0 such that dy dx =y [ 2x x g(x) + x [g(x)] ], then the function 1 g(x) is…
- If y= ^2 ( ^ -1 ( 1-x 1+x ) ), then dx dx =
- If (a + bx)e^ y x = x, then x^3 d^2y dx^2 is equal to
- If x = t, t > 0 and y = 1 t then d^2y dx^2 =
- If y = K^ ^ -1 x 1 + K^ ^ -1 x and t = K^ ^ -1 x , then dy dt
- If f(1) = 3, f'(1) = 2, then d dx [f(e^x+2x)] at x = 0 is
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