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Math Help - function f(x)g(x)

  1. #1
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    function f(x)g(x)

    Let f(x)= 2x+5 and g(x)= x^2+2

    a) Find function f(x)g(x) and simplify

    b) Find d/dx (f(x)g(x))= d/dx (simplified form)... in other words find derivative of simplified form

    c) Compare (b) to f'(x)g'(x)

    these are the answers I got

    a) 2x^3 +5x^2+4x+10

    b) 6x^2+10x+4

    c) 2x^3-x^2-6x+6

    are they corect if not please show me how to get these correct thank you
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  2. #2
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    Quote Originally Posted by asweet1 View Post
    Let f(x)= 2x+5 and g(x)= x^2+2

    a) Find function f(x)g(x) and simplify

    b) Find d/dx (f(x)g(x))= d/dx (simplified form)... in other words find derivative of simplified form

    c) Compare (b) to f'(x)g'(x)

    these are the answers I got

    a) 2x^3 +5x^2+4x+10

    b) 6x^2+10x+4

    c) 2x^3-x^2-6x+6 f'(x)g'(x) = 2(2x) = 4x
    ...
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  3. #3
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    so are the rest of them correct?
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  4. #4
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    Quote Originally Posted by asweet1 View Post
    so are the rest of them correct?
    I only corrected the one that was incorrect.
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