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Popular >

f^'(x)= 1/(sqrt(x))

Solution

f^{^{'}} (x) = \frac{1}{x}

Solution

f (x) = 2 x + c_{1}

Solution steps

f^{'} (x) = \frac{1}{x}

If

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

f (x) = \int \frac{1}{x} d x

\int \frac{1}{x} d x = 2 x + c_{1}

f (x) = 2 x + c_{1}

Popular Examples

f(x)=sqrt(1+3x)

f (x) = 1 + 3 x

y^{''}-9y=e^{-t}+1

y^{^{''}} - 9 y = e^{- t} + 1

integral of (sec^2(x)-tan^2(x))

\int (sec^{2} (x) - tan^{2} (x)) d x

integral from-7 to 7 of (sqrt(49-x^2))

\int_{- 7}^{7} (49 - x^{2}) d x

\int - 2 x d x

Frequently Asked Questions (FAQ)

What is the solution for f^'(x)= 1/(sqrt(x)) ?
The solution for f^'(x)= 1/(sqrt(x)) is f(x)=2sqrt(x)+c_{1}