# Thread: Calculus questions...derivatives!

1. ## Calculus questions...derivatives!

So I am doing a few problems for Calculus AB and got stuck on some of the following. I would appreciate it if you could help me and explain how to get the answer. Thanks!

Find dy/dx of the following:
1. y=(2√x)-(1/2√x)

2. y=x/(√1-x^2)

3. y=1/(2sin2x)

4. y=sec^2√x

5. x+cos(x+y)=0

2. Originally Posted by briana22
So I am doing a few problems for Calculus AB and got stuck on some of the following. I would appreciate it if you could help me and explain how to get the answer. Thanks!

Find dy/dx of the following:
1. y=(2√x)-(1/2√x)

2. y=x/(√1-x^2)

3. y=1/(2sin2x)

4. y=sec^2√x

5. x+cos(x+y)=0
1. Use the difference rule to find y'.
2. You can use the quotient rule, because the function is of the form f/g with f=x, $g=\sqrt{1-x^2}$.
3. It's a situation where $(\frac{1}{g})' = - \frac{g'}{g^2}$
4. Use the product rule.
5. You can use the implicit differentiation.