Do you remember the Power Rule, the Product Rule, and the Chain Rule? Here are two additional formulas that will help:
For the final problem, we may differentiate both sides and express in terms of and .
I've gotten some excellent help on these forums today. A HUGE thank you to everyone who assisted.
3 more questions giving me issues. If you could at least help get me started I would appreciate that...no need to do all my homework for me lol
Find the derivative of the following functions-
Given e^(x^2)+y^6=3xtan(y), find y'
I'm not really sure where to start on these
You should know that the derivative of a function is just
So to differentiate g(z):
Do you see how I applied the power rule and the chain rule?
Do you understand why you have to apply the product rule to ?
Remember that you defined x and y as functions of t when you wrote:
This means that is a function of a function. The same is true with . In order to differentiate I have to apply the chain rule.
If we consider the function:
we have the derivative:
You don't want leave it in this form since , you should substitute this for the
Can you tell what the derivative with respect to t of is?