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Popular >

derivative of f(x)=-x+4/x+1

Solution

derivative of

f (x) = - x + \frac{4}{x} + 1

Solution

- \frac{4}{x ^{2}} - 1

Solution steps

\frac{d}{d x} (- x + \frac{4}{x} + 1)

Apply the Sum/Difference Rule:

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

= - \frac{d x}{d x} + \frac{d}{d x} (\frac{4}{x}) + \frac{d}{d x} (1)

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

\frac{d}{d x} (\frac{4}{x}) = - \frac{4}{x ^{2}}

\frac{d}{d x} (1) = 0

= - 1 - \frac{4}{x ^{2}} + 0

Simplify

= - \frac{4}{x ^{2}} - 1

Popular Examples

derivative of f(x)=-3cos(x)-(x^2)/2+20 derivative of

f (x) = - 3 cos (x) - \frac{x ^{2}}{2} + 20

(\partial)/(\partial x)(u^2)

\frac{\partial}{\partial x} (u^{2})

integral of ((x^3))/(x-1)

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

maclaurin x/(1+x)maclaurin

\frac{x}{1 + x}

(\partial)/(\partial x)(x/(y^3)+(3y)/(x^3))

\frac{\partial}{\partial x} (\frac{x}{y ^{3}} + \frac{3 y}{x ^{3}})

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=-x+4/x+1 ?
The derivative of f(x)=-x+4/x+1 is -4/(x^2)-1
What is the first derivative of f(x)=-x+4/x+1 ?
The first derivative of f(x)=-x+4/x+1 is -4/(x^2)-1