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Popular >

derivative of 2x-(2000/(x^2))

Solution

\frac{d}{d x} (2 x - \frac{2000}{x ^{2}})

Solution

2 + \frac{4000}{x ^{3}}

Solution steps

\frac{d}{d x} (2 x - \frac{2000}{x ^{2}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x) - \frac{d}{d x} (\frac{2000}{x ^{2}})

\frac{d}{d x} (2 x) = 2

\frac{d}{d x} (\frac{2000}{x ^{2}}) = - \frac{4000}{x ^{3}}

= 2 - (- \frac{4000}{x ^{3}})

Simplify

= 2 + \frac{4000}{x ^{3}}

Popular Examples

integral of 6arctan(4y)

\int 6 arctan (4 y) d y

(\partial)/(\partial x)(2y^{4x})

\frac{\partial}{\partial x} (2 y^{4 x})

tangent of f(x)=sin(x)+1,\at x=-pi/2 tangent of

f (x) = sin (x) + 1, at x = - \frac{π}{2}

area f(x)=x^2-4,x=-4,x=3 area

f (x) = x^{2} - 4, x = - 4, x = 3

integral of 1/(x^2sqrt(a^2-x^2))

\int \frac{1}{x ^{2} a ^{2} - x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the derivative of 2x-(2000/(x^2)) ?
The derivative of 2x-(2000/(x^2)) is 2+(4000)/(x^3)
What is the first derivative of 2x-(2000/(x^2)) ?
The first derivative of 2x-(2000/(x^2)) is 2+(4000)/(x^3)