Question

Find the derivative of the function.
y =2^(5-x^2)

Answer 1

the derivative of \(b^x\) is \(b^x\ln(b)\) so by the chain rule the derivative of
\(b^{f(x)}\) is
\(\ln(b)b^{f(x)}f'(x)\)

Answer 2

That is actually a really good explanation @satellite73!

Answer 3

so ln(2)2^(5-x^2)-2x?

Answer 4

@KeithAfasCalcLover thanks
@amadosw it is times not minus

Answer 5

(-2x)

Answer 6

yeah, like that
you might want to clean it up a bit and write
\[-2\ln(2)x2^{5-x^2}\]