The derivative of the linear function
y=a0 + a1x is:
a) dependent on both the value of x and a1
b)always constant and different to a1
c) there is no derivative, as linear functions do not admit derivatives
d) always constant and equal to a1

Question

The derivative of the linear function
y=a0 + a1x is:
a) dependent on both the value of x and a1
b)always constant and different to a1
c) there is no derivative, as linear functions do not admit derivatives
d) always constant and equal to a1

richyw · Answer

$$y=a_0+a_1x$$ differentiate with respect to x:$$\frac{dy}{dx}=a_1$$The answer is clear from here.

anonymous · Answer

thanks

richyw · Answer

you know how to take that derivative though right? I hope so, because that is literally the most simple one you can do!