Derivatives and order of operations/rules

[Aznclink]

Hi, I am 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?

 

[Gib Z]

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!

 

[edinee]

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.