What is the derivative of #y = ln(xe^(x^2))# at the point (1,1)?
2 Answers
y = 3(x-1) + 1
Explanation:
STEP 1: Identify the rules needed to derive the function. For this equation, both the Chain Rule and Product Rule will be needed.
(Just a reminder, the Chain Rule:
Thus, using these two rules, you should get
STEP 2: Simplify the derivative
STEP 3: You can now plug in the x = 1
y'(1) =
y'(1) =
y'(1) =
y'(1) = 3
Therefore, at the point (1,1), m = 3
STEP 4: Plug in the slope and points into the Point Slope Form Equation
The answer is 3.
Explanation:
First, recall that
From the question, we can see that
Then, the form of
Furthermore, we know that
So, we can simply know that
And we can start differentiate it by using
At the point