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If 2^(x)+2^(y)=2^(x+y) then (dy)/(dx)is ...

If `2^(x)+2^(y)=2^(x+y)` then `(dy)/(dx)`is equal to

A

`(2^(x)+2^(y))/(2^(x)-2^(y))`

B

`(2^(x)+2^(y))/(1+2^(x+y))`

C

`2^(x-y)((2^(y)-1)/(1-2^(x)))`

D

`(2^(x+y)-2^(x))/(2^(y))`

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-DIFFERENTIATION-Chapter Test
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  3. y=sin^(-1)[sqrt(x-ax)-sqrt(a-ax)]

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  6. If f(x)=10cosx+(13+2x)sinx then f''(x)+f(x)=

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  9. If f'(x)=arc tan((x^(x)-x^(-x))/(2)), then f'(1) is equal to

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  10. Let f(x)=2^(2x-1)" and "g(x)=-2^(x)+2xlog2. Then the set of points sat...

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  11. If y=logu|cos4x|+|sinx|,where u=sec2x find (dy)/(dx) at x=-pi/6

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  12. If f(4)= 4, f'(4) =1 then lim(x to 4) 2((2-sqrtf(x))/ (2 - sqrtx)) is ...

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  14. If y=log{((1+x)/(1-x))^(1//4)}-(1)/(2)tan^(-1)x," then "(dy)/(dx)=

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  15. If x=costheta,y=sin5theta," then "(1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx...

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  17. Observe the following statements: "I. If "f(x)=ax^(41)+bx^(-40)," ...

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  18. If x=e^tsint,y=e^tcost then (d^2y)/(dx^2) at x=pi is

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  19. The value of (dy)/(dx) at x=(pi)/(2), where y is given by y=x^(sinx)...

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  20. If 2^(x)+2^(y)=2^(x+y) then (dy)/(dx)is equal to

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