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Popular >

(1-1/x)^'

Solution

(1 - \frac{1}{x})^{^{'}}

Solution

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

Solution steps

(1 - \frac{1}{x})^{'}

Apply the Sum/Difference Rule:

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

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

1^{'} = 0

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

= 0 - (- \frac{1}{x ^{2}})

Simplify

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

Popular Examples

y^{''}-3/t y^'+(20)/(t^2)y=0

y^{^{''}} - \frac{3}{t} y^{^{'}} + \frac{20}{t ^{2}} y = 0

derivative of arcsin(2x-3)derivative of

arcsin (2 x - 3)

integral of x/(sec(x))

\int \frac{x}{sec ( x )} d x

implicit (dy)/(dx),y^x=x^y implicit derivative

\frac{d y}{d x}, y^{x} = x^{y}

(dy)/(dt)-y=1,y(0)=0

\frac{d y}{d t} - y = 1, y (0) = 0

Frequently Asked Questions (FAQ)

What is the (1-1/x)^' ?
The (1-1/x)^' is 1/(x^2)
What is the first (1-1/x)^' ?
The first (1-1/x)^' is 1/(x^2)