Methods of Differentiations questions
285 published questions with worked solutions.
- y=(1+x)(1+x^2)(1+x^4) (1+x^ 2n ), then the value of dy dx at x = 0 is
- If y+x + y-x =c such that dy dx =f(x)- [f(x)]^2-1 , then f(x)= _____
- If f(x)= x^2+1 , g(x)= x+1 x^2+1 , h(x)=2x-3, then f'(h'(g'(x)))=
- d dx [ ^2 ^ -1 1-x 1+x ]= ….
- A point on the parabola y^2= 36 5x at which the ordinate increases at thrice the rate of the abscissa is _____
- If y= ^ -1 1+x^2 - 1-x^2 1+x^2 + 1-x^2 , where |x|<1, then dy dx is equal to
- Let f(x)=x-5. If g(x)=[f(4h(x)+3)]^2 and h(1)=4, h'(1)=-2, then g'(1)= _____
- If y=x+e^x, then d^2x dy^2 is equal to
- y= [3] 1+3x [4] 1+4x [5] 1+5x [7] 1+7x [8] 1+8x . Then dy dx at x=0 is
- If x= _e ( y 2 - y 2 y 2 + y 2 ), y 2 = 1-t 1+t . Then (y_1)_ t= 12 has the value
- Differentiation of ^ -1 ( 1+x^2 -1 x ) w.r.t. ^ -1 ( 1+ 1+x^2 2 1+x^2 ) is
- If y= ^ -1 ( 4 2x 2x-6 ^2x ), then ( dy dx ) at x = 0 is
- If x = e^ ^ -1 t and y = e^ ^ -1 t , then d^2y dx^2 is
- If f(a) = 2, f'(a) = 1, g(a) = -1, g'(a) = 2, then as x approaches a, g(x)f(a) - g(a)f(x) (x-a) approaches
- If f'(x) = ( x) and y = f ( 2x+3 3-2x ), then dy dx at x = 1 is
- If y=[(x+1)(2x+1)(3x+1) (nx+1)]^n, then dy dx at x = 0 is
- If e^y+xy=e then the ordered pair ( dy dx , d^2y dx^2 ) at x = 0 is equal to
- The derivative of ( ( x+3 x ) ) is
- If y= ^ -1 1+ 2x 1- 2x , then dy dx at x= 6 is
- Let f(x)=3x^3+4e^ x2 and g(x)=f^ -1 (x). Then the value of g'(4) is equal to…
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