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If y=(1+x)(1+x^2)(1+x^4)(1+x^(2n)), then...

If `y=(1+x)(1+x^2)(1+x^4)(1+x^(2n)),` then find `(dy)/(dx)a tx=0.`

A

-1

B

1

C

0

D

`2^(n)`

Text Solution

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The correct Answer is:
B
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MOTION-METHOD OF DIFFERENTIATION-EXERCISE - 1
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  2. If f(x)=|x|^(|sinx|), then f'((pi)/(4)) equals

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  3. If y=(1+x)(1+x^2)(1+x^4)(1+x^(2n)), then find (dy)/(dx)a tx=0.

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  4. If y=sin^(-1)((x^2-1)/(x^2+1))+sec^(-1)((x^2+1)/(x^2-1)) then dy/dx is...

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  5. Find the derivative of sec^(-1)((1)/(2x^(2)-1))" w.r.t. "sqrt(1-x^(2))...

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  6. If y = sin^-1((2x)/(1+x^2)) then (dy)/(dx) at x=-2is

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  7. If y=x-x^2, then the derivative of y^2 w.r.t x^2 is

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  8. The differential cofficient of a^(sin^(-1)x)w.r.t sin^(-1)x is -

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  9. The value of derivative of tan^(-1)((2xsqrt(1-x^(2)))/(1-2x^(2)))w.r...

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  10. If x=e^(y+e^(y^(+..."to"00))),xgt0,"then"(dy)/(dx)

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  11. If y=sqrt(x)^(sqrt(x)^(sqrt(x)^sqrt(x)...00)), "then the value of"(dy)...

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  12. If y=sqrt(logx+sqrt(logx+sqrtlogx+......oo)), " then " dy/dx is

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  13. If y=cos^(-1)(cosx),t h e n(dy)/(dx) is equal to x/y (b) y/(x^2) (x^2...

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  14. If 8f(x)+6f(1/x)=x+5 and y=x^2(f(x), then (dy)/(dx) at x=-1 is equal t...

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  15. If f(x)=x^(n),"n" epsilon N, then the value of f(1)-(f^(')(1))/(1!)+(f...

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  16. LEt f(x) be a differentiable function and f'(4)=5. Then, lim(x->2)(f(4...

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  17. If u=a x+b ,t h e n(d^n)/(dx^n)(f(a x+b)) is equal to (d^n)/(d u^n)(f(...

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  18. Let f(x) be a polynomial in x . Then the second derivative of f(e^x)wd...

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  19. If f(x), g(x), h(x) are polynomials in x of degree 2 If F(x)=|[f,g,h],...

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  20. If y=f(x) is an odd differentiable function defined on (-oo,oo) such t...

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