# How do you find the derivative of #y = (3x + 1)^2#?

Use chain rule / Expand

Method 2: If you are able to find the derivative by expanding everything

By signing up, you agree to our Terms of Service and Privacy Policy

To find the derivative of ( y = (3x + 1)^2 ), you can apply the chain rule, which states that the derivative of a composite function is the derivative of the outer function evaluated at the inner function, multiplied by the derivative of the inner function. The derivative of ( (3x + 1)^2 ) with respect to ( x ) is ( 2(3x + 1) \times (3) ), which simplifies to ( 6(3x + 1) ). Therefore, the derivative of ( y ) with respect to ( x ) is ( 6(3x + 1) ).

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7