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Popular >

derivative of 1/(sqrt(x)-sqrt(x))

Solution

\frac{d}{d x} (\frac{1}{x} - x)

Solution

- \frac{1}{2 x ^{\frac{3}{2}}} - \frac{1}{2 x}

Solution steps

\frac{d}{d x} (\frac{1}{x} - x)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (\frac{1}{x}) - \frac{d}{d x} (x)

\frac{d}{d x} (\frac{1}{x}) = - \frac{1}{2 x ^{\frac{3}{2}}}

\frac{d}{d x} (x) = \frac{1}{2 x}

= - \frac{1}{2 x ^{\frac{3}{2}}} - \frac{1}{2 x}

Graph

Popular Examples

integral of cos^8(4-x)sin(4-x)

\int cos^{8} (4 - x) sin (4 - x) d x

integral of 1/(1-2x^2)

\int \frac{1}{1 - 2 x ^{2}} d x

tangent of f(x)=x^2-2x,(-2,8)tangent of

f (x) = x^{2} - 2 x, (- 2, 8)

derivative of (x^2-1)/x derivative of

\frac{x ^{2} - 1}{x}

derivative of (3x^2-x-4)(-x^2+2)derivative of

(3 x^{2} - x - 4) (- x^{2} + 2)

Frequently Asked Questions (FAQ)

What is the derivative of 1/(sqrt(x)-sqrt(x)) ?
The derivative of 1/(sqrt(x)-sqrt(x)) is -1/(2x^{3/2)}-1/(2sqrt(x))
What is the first derivative of 1/(sqrt(x)-sqrt(x)) ?
The first derivative of 1/(sqrt(x)-sqrt(x)) is -1/(2x^{3/2)}-1/(2sqrt(x))