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Derivatives and order of operations/rules

  1. Feb 21, 2008 #1
    Hi, im having troubles with derivitives like should i use chain rule first before using product rule and such.

    heres an example problem:

    3(1-5x)^1/2 + 1/6(1-5x)^3/2

    What should my following steps be?
  2. jcsd
  3. Feb 21, 2008 #2

    Gib Z

    User Avatar
    Homework Helper

    Welcome to Physicsforums aznclink.

    Remember that the derivative of a sum is the sum of the derivatives, the derivative of c f(x) is c times the derivative of f(x) when c is a constant, the power rule and to use the chain rule when finding the derivative of (1-5x)^(1/2) etc.

    Hope that helps!
    Last edited: Feb 21, 2008
  4. Feb 21, 2008 #3
    aznclink, the following example is one where you have to use both chain and product rule:
    differentiate: y = (2x+1)^5 * (x^3-x+1)^4.
    In this example you must first use the product rule, y=f(x)g'(x) + g(x)f'(x), and then the chain rule to find g'(x) and f'(x).

    hope this helps.
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