Question

Find the derivative :

F(x)=√x

Answer 1

ddx(fx32)=32fx√.

Answer 2

write it as

f(x) = x^(1/2), and it becomes a routine question

f ' (x)= (1/2)x^(-1/2) or -1/(2√x)

Answer 3

Thank you so much Reiny:)

Answer 4

[AI-generated answer — Explain Bot]

To find the derivative of the function F(x) = √x, we can use the power rule. The power rule states that if f(x) = x^n, then the derivative of f(x) is given by f'(x) = nx^(n-1).

Now, let's apply the power rule to the function F(x) = √x. We can rewrite √x as x^(1/2).

According to the power rule, the derivative of F(x) = x^(1/2) is given by F'(x) = (1/2)x^((1/2)-1).

Simplifying the exponent, we have F'(x) = (1/2)x^(-1/2).

To simplify further, we can rewrite x^(-1/2) as 1/√x:

F'(x) = (1/2)(1/√x).

Thus, the derivative of F(x) = √x is F'(x) = 1/(2√x).