Derivative of Exponential Function with Variable Exponent

[communitycoll]

Homework Statement

Find the derivative of:
y = 10^(1 - x^2)

Homework 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.

The Attempt at a Solution

Everything Wolfram does above.

 

[vela]

Your answer is fine. Wolfram's answer is weird.

 

[Bohrok]

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

-2^2-x25^1-x2xln10

-2^1+1-x25^1-x2xln10

-2¹2^1-x25^1-x2xln10

-2(2^1-x25^1-x2)xln10

-2xln10(10^1-x2)

 

[communitycoll]

Your answer is fine. Wolfram's answer is weird.

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)?

 

[vela]

Right.

 

[communitycoll]

As in the latter?

 

[vela]

Yes.

 

[communitycoll]

Alright then. Thanks a bunch : D