`y = 10^(1 - x^2)` Find the derivative of the function.

1 Answer

gsenviro's profile pic

gsenviro | College Teacher | (Level 1) Educator Emeritus

Posted on

Using the exponential function rule:

`[a^(u(x))]' = ln(a)*a^(u(x))*u'(x) ` 

we get

`y' = [10^(1-x^2)]'` 

`= ln(10)*10^(1-x^2)*d/dx(1-x^2)`

`=-2x*ln(10)*10^(1-x^2)`

Hope this helps.