Derivative of the Product of Two Functions: Applying the Chain Rule

[harpf]

Homework Statement

take the derivative of a(t) = b(t)c(t)

Homework Equations

chain rule

The Attempt at a Solution

Apply the chain rule: a'(t) = c(t)b'(t) + b(t)c'(t)
Is this correct? Thank you.

 

[Dick]

Homework Statement

take the derivative of a(t) = b(t)c(t)

Homework Equations

chain rule

The Attempt at a Solution

Apply the chain rule: a'(t) = c(t)b'(t) + b(t)c'(t)
Is this correct? Thank you.

Yes, it's correct. But that's called the product rule, not the chain rule.

 

[harpf]

Thanks. I appreciate your response.