What is the derivative of # (x^3+1)^2#?
3 Answers
Mar 31, 2018
Explanation:
Applying the chain rule,
Mar 31, 2018
Explanation:
#"expand the factor "(x^3+1)^2#
#rArr(x^3+1)^2=x^6+2x^3+1#
#"differentiate using the "color(blue)"power rule"#
#•color(white)(x)d/dx(ax^n)=nax^(n-1)#
#rArrd/dx((x^3+1)^2)=6x^5+6x^2#
Mar 31, 2018
Explanation:
Firstly, expand the brackets
Now take the derivative using the power rule:
Remembering when deriving, multiply the power by the coefficient, and then
Also remembering that if there is no