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Popular >

derivative of y=-3/x+2/(x^3)

Solution

derivative of

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

Solution

\frac{3}{x ^{2}} - \frac{6}{x ^{4}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (\frac{2}{x ^{3}}) = - \frac{6}{x ^{4}}

= - (- \frac{3}{x ^{2}}) - \frac{6}{x ^{4}}

Simplify

= \frac{3}{x ^{2}} - \frac{6}{x ^{4}}

Popular Examples

integral of (7-x^2)/(3x^3+x)

\int \frac{7 - x ^{2}}{3 x ^{3} + x} d x

(\partial)/(\partial y)(x^5yz^2+4yz)

\frac{\partial}{\partial y} (x^{5} y z^{2} + 4 yz)

tangent of f(x)=x^2+x,\at a=5 tangent of

f (x) = x^{2} + x, at a = 5

derivative of Inxy(I,x^2)

\frac{d}{d x} (I n x y (I, x)^{2})

integral of (13)/(x(x^2+4)^2)

\int \frac{13}{x ( x ^{2} + 4 ) ^{2}} d x

Frequently Asked Questions (FAQ)

What is the derivative of y=-3/x+2/(x^3) ?
The derivative of y=-3/x+2/(x^3) is 3/(x^2)-6/(x^4)
What is the first derivative of y=-3/x+2/(x^3) ?
The first derivative of y=-3/x+2/(x^3) is 3/(x^2)-6/(x^4)