how do you solve this problem? the question is attached as a image.

Question

anonymous · Answer

attachment

anonymous · Answer

@zepdrix hey do you know how to do this question?

anonymous · Answer

You need to solve the piece-wise function by taking the derivative of both functions using the definition of the derivative

anonymous · Answer

definition of the derivative is given by $$\lim_{h \rightarrow 0}\frac{ f(x+h)-f(x) }{ h }$$

anonymous · Answer

Once you find the derivative, plug zero into the funtion. If the values at f'(0) are different for the functions, this means there is a jump discontinuity and the derivative does not exist. If they are the same value, then you know the value at f'(0)

anonymous · Answer

so towards the end i got lim as x approaches 0 -4x-2h. Do i plug in 0 to both the x and the h?

anonymous · Answer

@VeritasVosLiberabit

anonymous · Answer

or did i do something wrong?

bohotness · Answer

nope:)

anonymous · Answer

wait so do i plug in 0 for both or not? @bohotness