Hi Emily
From what you have above, looks like you could start with the Constant Times a Function Rule and Power Rule for the first one then the Sum Rule for the others where the Power Rule would apply to the first term and the fact that the second term is only a constant, where rule for a constant would apply. The derivative of a constant is 0.
Do go and check the rules
For a constant times a function, the derivative is the constant times the derivative of the function
f(x) = c(fx)
f'(x) = cf'(x)
Power Rule
f(x) = xn
f'(x) = n(xn-1)
f(X)=3x2+1
f(x) =3x3
f'(x) =3(3)(x3-1))
f'(x) = 9x2
f(X)=2
f'(x) = 0
For next two below I suggest you rewrite them in terms of the applicable exponent and use the Power Rule; for example on the next one
f(X)=3/x+1
Can be rewritten as
f(x) = 3(x-1) + 1
The derivative of the sum can be written as
f'(x) = 3f'(x-1) + f'(1)
You would apply the rules as applicable to each term above
f(x)=√3x+1
Can you complete these by just reviewing the rules?
