Find the derivative of the function using the definition of derivative. g(x) = sqroot (8 − x)

Question

State the domain of the function. (Enter your answer using interval notation.)

State the domain of its derivative. (Enter your answer using interval notation.)

Answer 1

g(x)=(8-x)^.5

This is "differential"; mult-subt.

g(x)'=(4-.5x)^-.5 *(-.5) The 4 cancels. mult-subt -.5x. You get -.5

So =(4-.5x)^-.5(-.5)