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Popular >

derivative of h(x)= 1/(x^2)+1/x+x

Solution

derivative of

h (x) = \frac{1}{x ^{2}} + \frac{1}{x} + x

Solution

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

Solution steps

\frac{d}{d x} (\frac{1}{x ^{2}} + \frac{1}{x} + x)

Apply the Sum/Difference Rule:

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

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

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

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

\frac{d x}{d x} = 1

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

Popular Examples

integral of (cos(ax))/(sqrt(b-asin(ax)))

\int \frac{cos ( a x )}{b - a sin ( a x )} d x

limit as x approaches 5 of 3x+6

x \to 5 lim (3 x + 6)

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

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

integral of x/(x^2)

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

integral of (sin(sqrt(x+1)))/(sqrt(x+1))

\int \frac{sin ( x + 1 )}{x + 1} d x

Frequently Asked Questions (FAQ)

What is the derivative of h(x)= 1/(x^2)+1/x+x ?
The derivative of h(x)= 1/(x^2)+1/x+x is -2/(x^3)-1/(x^2)+1
What is the first derivative of h(x)= 1/(x^2)+1/x+x ?
The first derivative of h(x)= 1/(x^2)+1/x+x is -2/(x^3)-1/(x^2)+1