Question

find the derivative of f(x)=√x +1

Answer 1

Try the power rule?

Answer 2

Wait, it is \(\Large f(x)=\sqrt{x+1}\) or \(\Large f(x)=\sqrt{x}+1\)?

Answer 3

the second one

Answer 4

d(x^n)/dx =n(x)^n-1

Answer 5

Yea, use the power rule, take it in this form: \(\Large f(x)=(x)^{1/2}+1\)

Answer 6

then:
\[f'(x)=\frac{ 1 }{ 2\sqrt{x} }\]

Answer 7

how come square root x stays at the bottom ?

Answer 8

The power turn negative.

Answer 9

You bring down the power, then subtract one.