Chapter 3 Test Question #4

Differentiate the function:


a)





b)





c)





d)





The answer to this question is A. Let me show you how i got that answer:

As we all know from our extensive knowledge of Calculus,




So, let's apply this knowledge to this problem. In this case, our a is 10 and our x is


Now, let's put this into the logarithmic equation we have above.




GOOD!! ok, but wait the tricky part is that this is not the answer. We must now apply the Chain Rule so, by definition of the chain rule we multiply the derivative of the whole thing by the derivative of the inside function.

since the derivative of the inside function(3x²+4x-8) is 6x+4. Now, we just do the multiplication and end up with answer A,




THERE YOU GO!! GOOD LUCK REVIEWING!!
--Gianna ;)