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Popular >

derivative of 4/x-1/(x^3)

Solution

\frac{d}{d x} (\frac{4}{x} - \frac{1}{x ^{3}})

Solution

- \frac{4}{x ^{2}} + \frac{3}{x ^{4}}

Solution steps

\frac{d}{d x} (\frac{4}{x} - \frac{1}{x ^{3}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{4}{x}) - \frac{d}{d x} (\frac{1}{x ^{3}})

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

\frac{d}{d x} (\frac{1}{x ^{3}}) = - \frac{3}{x ^{4}}

= - \frac{4}{x ^{2}} - (- \frac{3}{x ^{4}})

Simplify

= - \frac{4}{x ^{2}} + \frac{3}{x ^{4}}

Popular Examples

integral from 1 to 3 of f(2x)

\int_{1}^{3} f (2 x) d x

limit as t approaches 0 of ln(t+1)

t \to 0 lim (ln (t + 1))

y^{''}+6y^'+8y=cos(3t)

y^{^{''}} + 6 y^{^{'}} + 8 y = cos (3 t)

tangent of f(x)=5x^3+4x,\at x=-1 tangent of

f (x) = 5 x^{3} + 4 x, at x = - 1

(dx)/(dt)=1+t-x-tx

\frac{d x}{d t} = 1 + t - x - t x

Frequently Asked Questions (FAQ)

What is the derivative of 4/x-1/(x^3) ?
The derivative of 4/x-1/(x^3) is -4/(x^2)+3/(x^4)
What is the first derivative of 4/x-1/(x^3) ?
The first derivative of 4/x-1/(x^3) is -4/(x^2)+3/(x^4)