How do you find the derivative of y= 10^(1-x^2) ?

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The response is : ##y'=-2ln10*x*10^(1-x^2)##

Solution:

let's ##y=a^f(x)##, where a is some invariable and ##f(x)## is part of ##x##

then, ##y'= a^f(x)lna*f'(x)##

Similarly, if we supervene this , we succeed get

##y'=10^(1-x^2)ln10*(-2x)##

After rearranging, we get

##y'=-2ln10*x*10^(1-x^2)##

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