Question #dc166
1 Answer
Jun 21, 2016
Explanation:
When taking the derivative of a function with respect to a given variable, we treat all other variables as constants. Then, for each of the given problems, we can find the derivatives using the chain rule and the power rule .
#=d/(da)(a^2+b^2)^(1/2)#
#=1/2(a^2+b^2)^(1/2-1)(d/(da)(a^2+b^2))#
#=1/2(a^2+b^2)^(-1/2)((d/(da)a^2)+(d/(da)b^2))#
#=1/(2(a^2+b^2)^(1/2))(2a^1+0)#
#=a/sqrt(a^2+b^2)#
We could also go through the same process to find