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If y = n^x, n > 0 then dy/dx is equal to...

If `y = n^x, n > 0` then `dy/dx` is equal to

A

`xn^(x - 1)`

B

`x/(log x)`

C

`n^x log n`

D

None of these

Text Solution

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The correct Answer is:
C
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BETTER CHOICE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-PREVIOUS YEARS BOARDS QUESTIONS FOR PRACTICE (MULTIPLE CHOICE QUESTIONS)
  1. The derivative of f (x) = |x| at x = 2 equals :

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  2. The derivative of f(x) = |x| at x = 3 equals

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  3. If y = n^x, n > 0 then dy/dx is equal to

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  4. If y = x^a, a in R then dy/dx is equal to :

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  5. If x = 3at, y = at^3, then dy/dx is equal to :

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  6. If x = 4at, y = at^4, then dy/dx is equal to :

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  7. Derivative of (sin^-1 x + cos^-1 x) w.r.t 'x' is equal to :

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  8. Derivative of (sec^-1 x + cosec^-1 x) w.r.t 'x' is equal to :

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  9. The derivative of sqrt(log(sin x)) w.r.t. x is

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  10. If function defined by f(x) = {{:((sin 3x)/(2x)"," ,x != 0),(k + 1",",...

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  11. The derivative of a^x is

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  12. Discuss the continuity of the function (x) at x = 1 if f(x) = {{:((x...

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  13. Discuss the continuity of the function f(x) at x = 3 if f(x) = {{:((...

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  14. Find all the points of discontinuity of f, where f is defined by f(x...

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  15. Find (dy)/(dx) if y = log (sqrt(2x + sqrt(4x^2 + a^2)))

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  16. If x^y = e^(x + y) , show that (dy)/(dx) = (log x - 2)/((1 - log x)^2)

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  17. If siny = xsin(a+y), prove that dy/dx=sin^2(a+y)/sina

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  18. Differentiate cos^(-1) ((1 - x^2)/(1 + x^2)) , 0 lt x lt 1. w.r.t.x

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  19. Diferentiate tan^(-1)((2x)/(1 - x^2)) w.r.t.x.

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  20. If y = a sin (log x) + b cos (log x), then prove that : x^2 d^2y/dx^2+...

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