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Let f(x)=a(5)x^(5)+a(4)x^(4)+a(3)x^(3)+a...

Let `f(x)=a_(5)x^(5)+a_(4)x^(4)+a_(3)x^(3)+a_(2)x^(2)+a_(1)x, "where" a_(i),s` are real and f (x) = 0 has a positive root `alpha_(0).` Then `f^(prime)(x)=0` has a positive root `alpha_1` such that 0 < `alpha_1` < `alpha_0` `f^(prime)(x)=0` has at least two real roots `f^('')(x)=0` has at least one real root none of these

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
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  2. Prove that the following functions are strictly increasing: f(x)=log(1...

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  3. Let f(x)=a(5)x^(5)+a(4)x^(4)+a(3)x^(3)+a(2)x^(2)+a(1)x, "where" a(i),s...

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  4. Let f(x)a n dg(x) be two continuous functions defined from RvecR , suc...

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  5. If there is an error of k % in measuring the edge of a cube, then the...

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  6. Prove that the function f(x)=(log)e(x^2+1)-e^(-x)+1 is strictly increa...

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  7. The rate of change of the volume of a sphere w.r.t. its surface area, ...

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  8. Prove that the function are increasing for the given intervals: f(x)=s...

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  13. At the point P(a , a^n) on the graph of y=x^n ,(n in N), in the first...

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  14. If f:[0,oo]toR is the function defined by f(x)=(e^(x^2)-e^(-x^2))/(e^(...

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  19. Prove that the function are increasing for the given intervals: f(x)=e...

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