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If y = (ax+b)^(cx+d) then (dy)/(dx) =...

If `y = (ax+b)^(cx+d)` then `(dy)/(dx)` =

A

`y{(a(cx+d))/((ax+b))+clog(ax+b)}`

B

`y{(a(cx+d))/((ax+b))-clog(ax+b)}`

C

`y{((cx+d))/((ax+b))+log(ax+b)}`

D

`y{((cx+d))/((ax+b))-log(ax+b)}`

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-DIFFRENTATION-PRACTICE SHEET (EXERCISE - I) (LEVEL - I)(Straight Objective Type Questios)
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  2. d/(dx){x^(tanx)} =

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  3. If y = (ax+b)^(cx+d) then (dy)/(dx) =

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  4. The derivative of y = (1-x) (2-x) (3-x) ....(n-x) at x = 1 is

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  8. d/(dx)[(cosx)^(logx)+(logx)^(x)] =

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  9. If f(x) = cos x cos 2x cos 2^2 x cos^(2^3) x .....cos 2^(n-1) x and n ...

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  13. If x =cos^3 theta, y = sin^3 theta then sqrt(1+((dy)/(dx))^2)=

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  14. If x = a (t + sin t), y = a (1- cost) and (dx)/(dy) =cot p then p =

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  15. If x = "cosec" theta - sintheta, y = "cosec"^(n)theta - sin^(n) theta ...

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  16. If x = a (1-cos theta) , y = a ( theta + sin theta) then (dy)/(dx) a...

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  17. If x = a Sin 2 theta (1+Cos2 theta) , y = b Cos2 theta (1-Cos2 theta) ...

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