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Let f(x) be a polynomial function such t...

Let f(x) be a polynomial function such that `f(x)=x^(4)`. What is f'(1) equal to?

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4

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NDA PREVIOUS YEARS-QUESTION PAPER 2021(I)-MULTIPLE CHOICE QUESTION
  1. If y=(1+x)(1+x^(2))(1+x^(4))(1+x^(8))(1+x^(16)) then what is (dy)/(dx)...

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  2. If y=cosx.cos4x.cos8x, then what is (1)/(y)(dy)/(dx) at x=(pi)/(4) equ...

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  3. Let f(x) be a polynomial function such that f(x)=x^(4). What is f'(1) ...

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  4. What is lim(ntooo)(a^(n)+b^(n))/(a^(n)-b^(n)) where agtbgt1, equal to?

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  5. Let f(x)={{:(1+(x)/(2k),0ltxlt2),(kx,2lexlt4):} If lim(xto2)f(x) exi...

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  6. Consider the following statements in respect of f(x)=|x|-1: 1. f(x) ...

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  7. If f(x)=([x])/(|x|),xne0, where [.] denotes the greatest integer funct...

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  8. What is the range of the function f(x)=1-sinx defined on entire real l...

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  9. What is the slope of the tangent of y=cos^(-1)(cosx) at x=-(pi)/(4)?

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  10. What is the integral of f(x)=1+x^(2)+x^(4) with respect to x^(2)?

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  11. Consider the following statements in respect of the function f(x)=x^(2...

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  12. If f(x) satisfics f(1)=f(4), the what is int(1)^(4)f '(x)dx equal to?

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  13. What is int(0)^(pi/(2))e^(ln(cosx))dx equal to?

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  14. If intsqrt(1-sin2x)dx=Asinx+Bcosx+C, where 0ltxlt(pi)/(4), then which ...

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  15. What is the order of the differential equation of all ellipses whose a...

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  16. What is the degree of the differential equation of all circles touchin...

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  17. What is the differential equation of y=A-(B)/(x)?

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  18. What is int(0)^(pi) log (tan""(x)/(2)) dx equal to?

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  19. Where does the tangent to the curve y=e^(x) at the point (0,1) meet x-...

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  20. Consider the following statements in respect of the function f(x)=x+(1...

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