For the following function, find the values of the constants 𝑎 and 𝑏 for which the function is continuous, but not differentiable.

Question

𝑓(𝑥)={𝑎𝑥+𝑏,𝑥>0 & sin𝑥,𝑥≤0.

Answer 1

as with the previous problem, you want
f(0) to match up,
but f'(0) has a break.

how about a=0, b=0
or any linear function f(x) = kx where k≠1
since f'(sinx) = 1 at x=0