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    Differentiate: x^2(1+x)^3
    The answer is x(5x+2) (1+x)^2

    Someone please help! I've been trying to do this for 1 hour
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    (Original post by trad1998)
    Differentiate: x^2(1+x)^3
    The answer is x(5x+2) (1+x)^2

    Someone please help! I've been trying to do this for 1 hour
    You use product rule and chain rule
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    (Original post by Mesosleepy)
    You use product rule and chain rule
    I've got that far. I'm at the last part which is simplifying to get the final answer.
    I have 2x(x+1)^3 + 3(x+1)^2 *x^2
    Could you help?
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    (Original post by trad1998)
    I've got that far. I'm at the last part which is simplifying to get the final answer.
    I have 2x(x+1)^3 + 3(x+1)^2 *x^2
    Could you help?
    do 3 * x^2 then look for a common factor
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    Could you put the question in the math format? This is how i'm interpreting the question.
    -----------3
    x2(1+x)
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    (Original post by jackien1)
    Could you put the question in the math format? This is how i'm interpreting the question.
    -----------3
    x2(1+x)
    X^2 x (1+x)^3
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    Did you get the answer?
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    (Original post by jackien1)
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    That seems such a long way round, and would take ages, this question can be done in about 3 minutes and no more than 7 lines.
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    (Original post by AlexS101)
    That seems such a long way round, and would take ages, this question can be done in about 3 minutes and no more than 7 lines.
    I'm just trying to clearly show OP how I'm getting the answer. This is by no means the fastest. I never claimed it could be done in 3 mins and 7 lines. Tbh, this could be done in under a min and in 3 lines. I'm going for clarity since OP requires the explanation.

    You can post your own short version for OP if you'd like.
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    (Original post by jackien1)
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    Thanks for taking the time to show me the workings. Really appreciate it!
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    3x^2(1+x)^2 +2x(1+x)^3
    x and (1+x)^2 is a common factor
    so = x(1+x)^2 [ 3x+2(1+x) ]
    [ 3x +2 +2 x ]
    [ 5x + 2 ]


    = X(1+X)^2(5X+2)
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    (Original post by trad1998)
    Thanks for taking the time to show me the workings. Really appreciate it!
    Welcome!
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    (Original post by Mesosleepy)
    3x^2(1+x)^2 +2x(1+x)^3
    x and (1+x)^2 is a common factor
    so = x(1+x)^2 [ 3x+2(1+x) ]
    [ 3x +2 +2 x ]
    [ 5x + 2 ]


    = X(1+X)^2(5X+2)
    Thank you! I'm crap at factorising... 😑
 
 
 
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