a) < -- function is differentiable everywhere except 1/2*pi and -1/2*pi...correct??
b) ...dont know where this one is differentiable
c) <---- also dont know how to find where this one is differentiable..
please help
a) < -- function is differentiable everywhere except 1/2*pi and -1/2*pi...correct??
b) ...dont know where this one is differentiable
c) <---- also dont know how to find where this one is differentiable..
please help
just look where the functions are undefined or have cusps. for (a), it is not differentiable anywhere sin(x) = 0. and that is at infinitely many points (not including 1/2 pi and -1/2 pi), but rather, at k*pi, for k an integer
for (b), the logarithm is undefined at zero, and hence, is not differentiable there
try (c)
if you want to be sure of these answers, try using the limit definition of a derivative, the limit will not exist where the function is not differentiable