Thread: Derivative Step Through

1. Derivative Step Through

Can someone please help step me through the derivative of:

1/sqrt(2+x)

I'm rustier than I thought!

2. Re: Derivative Step Through

Hint: write the function as:

$f(x)=(x+2)^{\small{\frac{1}{2}}}$

Now use the power rule for differentiation.

3. Re: Derivative Step Through

Originally Posted by MarkFL2
Hint: write the function as:

$f(x)=(x+2)^{{\frac{1}{2}}}$
Now use the power rule for differentiation.
It needs to be $f(x)=(x+2)^{{-\frac{1}{2}}}$

4. Re: Derivative Step Through

D'oh! Indeed it does!

5. Re: Derivative Step Through

Thanks guys for the new perspective! Much easier now =)