Question

Consider the function:y = x^2+2x. What is the derivative dy/dx of this function

Answer 1

2x + 2

Answer 2

2x+2

Answer 3

FIRST! haha the general rule is:
\[f(x)=x^{a}\]
\[f \prime(x)=ax ^{a-1}\]

Answer 4

firstly: y=f(x) = x^2 +2x
then using the rule bananamoes gave which is correct!
It follows f ' (x) = 2x^(2-1) + 2x^(1-1) = 2x + 2
as x^0 = 1