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Popular >

derivative of f(x)=-4/x

Solution

derivative of

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

Solution

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

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply exponent rule:

\frac{1}{a} = a^{- 1}

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

Apply the Power Rule:

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

= - 4 (- 1 \cdot x^{- 1 - 1})

Simplify

- 4 (- 1 \cdot x^{- 1 - 1}) : \frac{4}{x ^{2}}

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

Popular Examples

tangent of x^3,\at x=1 tangent of

x^{3}, at x = 1

derivative of y=(x^6-10)x derivative of

y = (x^{6} - 10) x

(dy)/(dt)=0.0572(400-y),y(0)=32

\frac{d y}{d t} = 0.0572 (400 - y), y (0) = 32

y^'+(1-2x)/(x^2)y-1=0

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

(\partial)/(\partial y)(xy+yz+zy)

\frac{\partial}{\partial y} (x y + yz + zy)

Frequently Asked Questions (FAQ)

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