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If x= r cos theta, y = r sin theta, then...

If `x= r cos theta, y = r sin theta`, then `(del r)/(del x)`=_________

A

`sec theta`

B

`sin theta`

C

`cos theta`

D

`"cosec" theta`

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • If x = r cos theta, u = r sin theta then (del theta)/(del x) is:

    A
    `r `
    B
    `(-y)/(x ^(2) +y ^(2))`
    C
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    D
    0

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    A
    `xy^(x-1)`
    B
    `yx^(y-1)`
    C
    0
    D
    1

  • If u= y sin x then (del^(2)u)/(del x del y) =___________

    A
    cos x
    B
    cos y
    C
    sin x
    D
    0

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    Explore conceptually related problems

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