Methods of Differentiations questions
285 published questions with worked solutions.
- If y= ( ax+b cx+d ), then 2 dy dx d^3y dx^3 is equal to
- If y= x^x then the value of ( dy dx )^2 at x=e^2 is
- If y = [(x+1)(2x+1)(3x+1) (nx+1) ]^ 2 , then dy dx at x = 0 is
- If y= ^ -1 ( 1-4^x 1+4^x ), then dy dx at x=1 is
- If f(x)= 3x-x^3 1-3x^2 and g(x)= 1-x^2 1+x^2 , then _ x t f(x)-f(t) g(x)-g(t) =
- The derivative of _8( _5x) w. r. t. x is
- If g(x) = [f(2f(x) + 2)]^2 and f(0) = -1, f'(0) = 1, then g'(0) is
- If f(1) = 1, f'(1) = 5, then the derivative of f (f (f(x) ) )+ (f(x) )^2 at x = 1 is
- The derivative of ^ -1 ( 1+x^2 - 1 x ) with respect to ^ -1 ( x 1-x^2 ) at x = 1 2
- If y = 1 3x+5 , then the value of d^9y dx^9 is
- If y = x.7^x, then the value of dx dy when x=1 is
- For x>0 and (x x)<1, if y= ^ -1 ( x- x^ x^2 e^ x^2 + x^x ), then dy dx =
- If f'(x)= ^2x and y=f ( 2x-1 x^2+1 ), then dy dx at x=1 is
- Let y= [p] x^3y . If dy dx = 32 when y=1, then the value of p is equal to...
- If xe^ xy =y+ ^2x, then the value of dy dx at x=0 is equal to
- Let t (0,1) and (0, 4 ). If x= cosec ^ -1 ( 1+t^2 2t ), y= ^ -1 ( 1-t^2 t ) and dy dx =f(t), then the value of f( ) is
- The first derivative of the function ( ^ -1 ( 1+x 2 ) + x^x ) with respect to x at x = 1 is
- If x^ 2 5 + y^ 2 5 = a^ 2 5 then dy dx =
- For n N if y=ax^ n+1 +bx^ -n , then x^2 d^2y dx^2 =
- The derivative of ^ -1 ( 1+x^2 -1 ) is
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