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Math Help - Derivative of a function of two variables.

  1. #1
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    Derivative of a function of two variables.

    if i have a function

     c(x) = 5x + t

    The derivative with respect to x is 5 ...right?
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  2. #2
    Super Member 11rdc11's Avatar
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    Quote Originally Posted by el123 View Post
    if i have a function

     c(x) = 5x + t

    The derivative with respect to x is 5 ...right?
    yes because t a constant
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  3. #3
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by el123 View Post
    if i have a function

     c(x) = 5x + t

    The derivative with respect to x is 5 ...right?
    That would be correct...it t was a constant.

    If t is a function of x, then c(x)=5x+t\implies c^{\prime}(x)=5+\frac{\,dt}{\,dx}

    If t isn't a constant, but rather a different variable, then define c(x,t)=5x+t. Thus, the [partial] derivative with respect to x would be c_x(x,t)=5.**

    Does this help?

    ** If you don't understand this part, that's ok. I'm just trying to cover all possibilities. Pick the one that best answers your question based off of where you're at with respect to differentiation.
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