5. Find (dy)/(dx) if y=3z^2-5z+2 where z=x^2-1 and x=1

Name: 5. Find (dy)/(dx) If Y=3z^2-5z+2 Where Z=x^2-1 and X=1
Brand: QuestionAI
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Question

Answer 1

To find

, we need to use the chain rule. The chain rule states that if

is a function of

and

is a function of

, then

.Given

and

, we can find

and

.First, let's find

:

Next, let's find

:

Now, we can substitute these values into the chain rule formula:

Finally, substitute

into the expression:

Therefore, the correct answer is

.

Question