Hey guys/gals, I have a midterm coming up Wends for my Calc class and we were given a practice test and there is a problem on here that I am struggling coming up with the correct answer. Thanks in advance you guys have been a huge help this semester. Below is the problem.
Use teh definition f'(x) = lim as h--->0 f(x+h)-f(x)/h f(x)= 3x^4 - 9x^3 + 4
so far I have gotten this far haha. j/k I have done this so far.
lim h__>0 [3(x+h)^4 - 9(x+h)^3 +4] - (3x^4 - 9x^3 + 4] / h
The 4's cancel out but then I need to break down the x+h's and that is where I am losing it. Can someone show me the correct way. I would love to just use the power rule but my professor said we need to work them out. I know this is a long problem but I need to see the steps so I can compare with mine to find my mistake. Thanks again.