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Given p(x) =x^4 +ax^3 +bx^2+cx +d such t...

Given `p(x) =x^4 +ax^3 +bx^2+cx +d` such that x = 0 is the only real root of P'(x) =0. If P(-1) < P(1), then in the interval [-1,1]

A

P(-1) is the minimum and P(1) is the maximum of P

B

P(-1) is not minimum but P(1) is the maximum of P

C

P(-1) is the minimum but P(1) is not be maximum of P

D

Neither P(-1) is the minimum nor P(1) is the maximum of P.

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MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. f(x) = (logx)/x is increasing in the interval

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  2. The total number of local maxima and local minima of the function f(x)...

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  3. Given p(x) =x^4 +ax^3 +bx^2+cx +d such that x = 0 is the only real roo...

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  4. The equation of the tangent to the curve y = x+4/x^2, that is parallel...

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  5. Let f: R rarr R be a positive increasing function with underset(xrar...

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  6. Let F: R rarr R be defined by: f(x) = {:{(k-2x,ifxle-1),(2x+3,ifx> -1)...

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  7. A spherical balloon is filled with 4500pi cubic metres of helium gas. ...

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  8. The real number k for which the equations 2x^3 +3x+k=0 has two distinc...

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  9. The number of points in (-oo,oo) for which x^(2)-xsinx-cosx=0, is

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  10. The normal to the curve x^(2)+2xy-3y^(2)=0 at (1, 1)

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  11. Let f(x) be a polynomial of degree four having extreme values at x =1 ...

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  12. Consider f(x) = tan^-1(sqrt((1+sinx)/((1-sinx)))), x in (0,pi/2) A nor...

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  13. A wire of the length 2 units is cut into two parts which are bent resp...

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  14. The least value of alpha in R for which 4alphax^(2)+(1)/(x)ge1, for al...

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  15. The radius of a circle is increasing at the rate of 0.7 cm/s. What is ...

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  16. Show that the function f given by, f(x) = x^3 - 3x^2 + 4x, x in R is i...

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  17. Find the slope of the tangent to the curve y = x^3-3x+2 at the point w...

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  18. A man of height 2m walks at a uniform speed of 5km/h away from a lamp...

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  19. Find the intervals in which the function given by : f (x) = sin x + co...

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  20. Prove that the curves x = y^2 and xy = k cut at right angles if 8k^2 =...

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