How do you find the derivative of #18lnx+x^2+5#?
1 Answer
Apr 14, 2016
Explanation:
Through the sum rule, to find this function's derivative, add each part's derivative to one another:
Thus, we just need to find the derivative of each part:
#d/dx(18lnx)=18d/dx(lnx)=18(1/x)=18/x#
Recall that
Through the power rule, we see that
#d/dx(x^2)=2x#
And, since
#d/dx(5)=0#
Thus, the function's derivative is
#18/x+2x+0" "=" "color(blue)(18/x+2x#