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

Textbook Question

Chapter 3, 3.4 - Problem 24 - Calculus: Early Transcendentals (7th Edition, James Stewart).
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gsenviro | College Teacher | (Level 1) Educator Emeritus

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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.

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