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Suppose that f is a polynomial of degre...

Suppose that `f` is a polynomial of degree `3` and that `f^(x)!=0` at any of the stationary point. Then `f` 1)has exactly one stationary point `f` 2)must have no stationary point `f` 3)must have exactly two stationary points `f` has 4)either zero or two stationary points.

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
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  2. Let f(x)=(1+b^2)x^2+2b x+1 and let m(b) the minimum value of f(x) as b...

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  3. Suppose that f is a polynomial of degree 3 and that f^(x)!=0 at any...

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  4. The maximum value of the function f(x)=((1+x)^(0. 6))/(1+x^(0. 6)) in ...

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  5. The value of a for which the functionf(x)=asinx+1/3sin3x has an extrem...

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  6. If f(x)=(t+3x-x^2)/(x-4), where t is a parameter that has minimum and ...

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  7. A factory D is to be connected by a road with a straight railway line ...

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  8. Let f(x)=ax^3+bx^2+cx+1 has exterma at x=alpha,beta such that alpha ...

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  9. Consider the function f(x)=xcosx-sinxdot Then identify the statement w...

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  10. The number of values of k for which the equation x^3-3x+k=0 has two di...

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  11. The least natural number a for which x+a x^(-2)>2AAx in (0,oo) is 1 (b...

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  12. A function f is defined by f(x)=|x|^m|x-1|^nAAx in Rdot The local max...

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  13. A rectangle of the greatest area is inscribed in a trapezium A B C D ,...

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  14. f(x)={4x-x^3+ln(a^2-3a+3),0lt=x<3 x-18 ,xgeq3 complete set of values...

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  15. Let the function f(x) be defined as follows:(x)= {x^3 +x^2 −10x,−1≤x<...

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  16. A differentiable function f(x) has a relative minimum at x=0. Then the...

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  17. If f(x)=4x^3-x^2-2x+1 and g(x)={min f(t): 0<=t<=x; 0<=x<=1, 3-x : 1...

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  18. The set of value(s) of a for which the function f(x)=(a x^3)/3+(a+2)x^...

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  19. The number of values of x where the function f(x)=cosx+cos(sqrt2x) att...

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  20. For a cubic function y=f(x),f''(x)=4x at each point (x , y) on it and ...

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