Question

f(x)=4-root of x+3

Answer 1

Whatcha looking for?

Answer 2

find the derivative of 4-root of x+3

Answer 3

first write it as

f(x) = 4 - (x+3)^(1/2)

Answer 4

\[\frac{d}{dx}\sqrt{x}=\frac{1}{2\sqrt{x}}\] is a good one to memorize

Answer 5

ok

Answer 6

and while @cwrw238 method will surely work, since the square root if a very common function, and its derivative never changes, rather than rewriting in exponential notation, using the power rule, then changing back to radical notation, it is much quicker just to know it. like memorizing \(6\times 7=42\) it is just a fact
since math teachers love to put these on tests and quizzes, while your colleagues are spending there time converting, you are done in on second

Answer 7

but still can u show the steps

Answer 8

what happened

Answer 9

the derivative of 4 is zero
the derivative of \(-\sqrt{x+3}\) is \(-\frac{1}{2\sqrt{x+3}}\)

Answer 10

what is full answer