Assignment #3

A derivative example that can be solved using the chain rule is "f(x)=(3x+1)^2." The derivative of this is "f '(x)= 6(3x+1)." To use the chain rule on “f(x)=(3x+1)^2,” you must multiply the whole function by two and subtract “1” from the exponent. You will start off by getting “2(3x+1).” You must then find the derivative of what is in the parenthesis, 3x+1, and multiply that to “2(3x+1).” The derivative of "3x+1" is "3." You may then simplify the function by multiplying the “2” and the “3.” If you wish to, you can even simplify the function further by distributing the “6” to the “3x+1.”