How do you use the chain rule to differentiate #y=1/(t^2+3x-1)#?
1 Answer
Explanation:
You need to decide whether you want to differentiate the expression with respect to
Let's first change the original expression to make it easier to differentiate:
Now the chain rule tells us that you will need to differentiate this expression twice. First, what is outside the brackets
Assume we want to calculate
We start by differentiating the expression outside the brackets to get:
We then differentiate the what is inside the brackets:
Now by the chain rule we just multiply these two expressions together to get:
Substituting the whole expression in
This is the final answer.
Assume we want to calculate
So that the final step by the chain rule is:
This is the final answer.