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Math Help - Differentiation

  1. #1
    JAW
    JAW is offline
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    Differentiation

    I believe and i am hoping i've completed the following question is correctly... Please confirm this for me.. Many thanks in advance..

    Differentate the following

    y= -3 sin (2x^2)

    t= (2x^2) therefore y=-3 sin t

    dt/dx = 4x dy/dt= 3 cos t

    dy/dx= dy/dt * dt/dx

    = 3 cos t * 4x
    = 3 cos (2x^2) (4x)

    Is this correct...

    Again mant thanks...
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  2. #2
    MHF Contributor
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    Correct except for one thing:

    \frac{dy}{dt} = -3 \cos t
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  3. #3
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    This problem can also be solved by using the chain rule, which will give you the same answer as you listed above, and you can avoid the necessity of substituting.
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