# Simplifying a Derivative

1. Jul 14, 2012

### communitycoll

1. The problem statement, all variables and given/known data
Find the derivative of:
y = 10^(1 - x^2)

2. Relevant equations
I get:
y' = (10^(1 - x^2))(ln 10)(-2x)

doing everything Wolfram does here:
http://www.wolframalpha.com/input/?i=derivative+10^(1+-+x^2)

I don't understand why it simplifies to Wolfram's final answer from what I got.

3. The attempt at a solution
Everything Wolfram does above.

2. Jul 14, 2012

### vela

Staff Emeritus

3. Jul 14, 2012

### Bohrok

But it's a great opportunity to use algebra to see if you're correct!

-22-x251-x2xln10

-21+1-x251-x2xln10

-2121-x251-x2xln10

-2(21-x251-x2)xln10

-2xln10(101-x2)

4. Jul 14, 2012

### communitycoll

Thank you. BTW I wouldn't multiply the (10^(1 - x^2)) by (-2x) to get something like -20x^(1 - x^2) right? I'd write (-2x)(10^(1 - x^2))(ln 10)?

5. Jul 14, 2012

### vela

Staff Emeritus
Right.

6. Jul 14, 2012

### communitycoll

As in the latter?

7. Jul 14, 2012

### vela

Staff Emeritus
Yes.

8. Jul 15, 2012

### communitycoll

Alright then. Thanks a bunch : D