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For what value of a,f(x)=log(a)(x) is in...

For what value of a,`f(x)`=`log_(a)(x)` is increasing on R?

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For a>1,`f(X)`=`log_(g)(X)` in increasing on R.
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MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-PROBLEM
  1. For what value of a,f(x)=log(a)(x) is increasing on R?

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  2. Write the points at which tangent to the curve Y=X^2-3X is parallel to...

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  3. If y=e^x+e^-x+2 has a tangent parallel to x-axis at (alpha,beta) then ...

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  4. Write slope of the tangent to the curve y= sqrt(3)sinx+cos x at [pi/3,...

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  5. Is f(X)= 20-X-cos X, increasing always? Justify your answer.

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  6. State where y = sin x attains a maximum value in the interval [0,pi].

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  7. Find the value of X for which f(X) is either a local maximum or a loca...

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  8. State where y = sin x attains a maximum value in the interval [0,pi].

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  9. Find the point on the curve, y=2x^2-6x-4 at which the tangent is paral...

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  10. For what values of x,f(x) = x^3-12x is increasing.

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  11. Find the maximum and minimum of f(X) = 3+|X-2| in -2leXle5.

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  12. For what value of k,f(x) = kx^3+3 is decreasing?

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  13. Write the absolute maximum and absolute minimum of the function f(x)=x...

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  14. Find the equation of tangent to the curve x=y^2-2 at the points where ...

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  15. f(x) = x^4-63x^2+ax+9 attains its maximum value at x=1 in the interval...

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  16. Find the points on the curve 9y^2 = x^3 where the normal to the curve ...

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  17. Find the equation of normal to the circle x^2+y^2 = 5 at (2,1).

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  18. Find the intervals where the function f(x)=tanx-4(x-2) is increasing a...

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  19. Show that for f(x) = x+1/x the local maximum is less than local minimu...

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  20. Find the points on the curve 9y^2 = x^3 where the normal to the curve ...

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