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

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

Solution:

let’s ##y=a^f(x)##, where a is some constant and ##f(x)## is function of ##x##

then, ##y’= a^f(x)lna*f'(x)##

Similarly, if we follow this , we will get

##y’=10^(1-x^2)ln10*(-2x)##

After rearranging, we get

##y’=-2ln10*x*10^(1-x^2)##