Find the derivative of f(x)=4√x?

Question

Find the derivative of f(x)=4√x using the definition of a derivative.

Answer 1

f (x) = 4 x ^ (1/2)
f ' (x) = 2 x ^ (- 1 / 2 )
f `(x) = 2 / x^(1/2)

Answer 2

4√x = 4(x)^(1/2)

so the derivative is

4(1/2)(x)^(-1/2)

= 2/(√x)

Answer 3

f(x)=4 √x = 4 x ^(1/2)

f '(x) = (1/2)(4) x^(-1/2) = 2 x^(-1/2)

Answer 4

4/2√x
therefore
2/√x

Answer 5

f(x)=4√x

rewrite the equaiton
f(x) = 4x^(1/2)

d/dx u^n = n * u^(n-1)

f'(x) = 4*1/2 x^(1/2 - 1)

f'(x) = 2x^(-1/2)

f'(x) = 2/√x <== answer

Answer 6

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Answer 7

Can't quietly remember the equation. But I can help you by doing the chain rule.

2x^ -1/2

Answer 8

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