need help for a differentiable function!

Question

.sam. · Answer

Do you have a question?

anonymous · Answer

yes!

anonymous · Answer

attachment

anonymous · Answer

i need to find the x values where the function is not differentiable

amistre64 · Answer

differentiable implies limits ...

amistre64 · Answer

limits only play nice on "smooth curves"

anonymous · Answer

yes so it's not differientable at -5 -4, -2 and 2 ?

amistre64 · Answer

correct, and i see one more place that it may not be good at

amistre64 · Answer

recall that a derivative defines a slope as well;  so if we have a "vertical" slope, it is undefined do to a division by 0

anonymous · Answer

oh really?

amistre64 · Answer

at x=0 it looks like the slope of the line may be vertical

anonymous · Answer

ok yeah! can i ask u another question?

amistre64 · Answer

sure

anonymous · Answer

thank u ! i need to find the derivative of this function 7x√+4

anonymous · Answer

i know what to do but it doesnt give me the right answer!

amistre64 · Answer

i cant read the function like that ...

anonymous · Answer

what do u mean?

amistre64 · Answer

$\Large\text{7x√+4}$ ; means nothing to me ...

anonymous · Answer

ok then can u help me with this problem : The figure below shows a function g(x) and its tangent line at the point B=(2.8,7.8). If the point A on the tangent line is (2.77,7.87), fill in the blanks below to complete the statements about the function g at the point B.

anonymous · Answer

attachment