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If y=x-x^2,then the derivative of y^2 wi...

If `y=x-x^2,`then the derivative of `y^2` with respect to `x^2` is

A

`1-2x`

B

`2-4x`

C

`3x-2x^2`

D

`1-3x+2x^2`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-DIFFRENTATION-ADDITIONAL PRACTICE EXERCISE (LEVEL - I (MAIN))(Straight Objective Typee Questions)
  1. If u=f(x^3),v=g(x^2),f'(x)=cosx, and g'(x)=sinx, then (du)/(dv) is

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  2. If y=x-x^2,then the derivative of y^2 with respect to x^2 is

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  3. If y=x-x^2,then the derivative of y^2 with respect to x^2 is

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  4. If y=((a-x)sqrt(a-x)-(b-x)sqrt(x-b))/(sqrt(a-x)+sqrt(x-b)) then dy/dx ...

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  5. If y=sqrt((1-x)/(1+x)) then (1-x^2)dy/dx is equal to

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  6. If y= tan^(-1)sqrt((1-x)/(1+x)) then dy/dx at

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  7. If e^x=(sqrt(1+t)-sqrt(1-t))/(sqrt(1+t)+sqrt(1-t)) and tan (y/2)=sqrt(...

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  8. If y=(sqrt(a+x)-sqrt(a-x))/(sqrt(a+x)+sqrt(a-x)), then dy/dx is equal ...

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  9. If ysqrt(x^2+1)=log(sqrt(x^2+1)-x),then(x^2+1)dy/dx+xy+1=

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  10. If f(x)=|loge(x||, then f'(x)equals.

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  11. If f,g,h are such that f^(1)(x) = g(x), g^(1)(x) = h(x), h^(1)(x) = f(...

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  12. Let P(x)=a0+a1x+a2x^2+...+anx^n.If|P(x)|le|e^(x-1)-1,|AAxge0, then the...

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  13. If f(x) = sqrt(1-sin2x), then f'(x) is equal to

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  14. If y^2 =ax^2 + bx +c, then y^3(d^2y)/(dx^2) is

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  15. If y^2 = p(x) , a polyomial of degree 3 , then 2(d)/(dx)(y^3(d^2y)/(dx...

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  16. Let f be function defined for every x , such that f^(11) = -f ,f(0) = ...

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  17. If sintheta sin(2alpha+theta)sin(4alpha + theta)...sin(2(n-1)alpha+the...

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  18. If y=2+|x| -|x| -|x-1|-|x+1| , then y'(-1/2)+y'(3/2) +y'(5/2)=

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  19. Suppose that function f(x) - f(2x) has the derivative 5 at x = 1 and ...

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  20. A function f satisfies the condition f(x) - f'(x) +f'(x) + f''(x) + .....

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