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Popular Calculus >

derivative of 2x+7+(450/x)

Solution

\frac{d}{d x} (2 x + 7 + \frac{450}{x})

Solution

- \frac{450}{x ^{2}} + 2

Solution steps

\frac{d}{d x} (2 x + 7 + \frac{450}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x) + \frac{d}{d x} (7) + \frac{d}{d x} (\frac{450}{x})

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

\frac{d}{d x} (7) = 0

\frac{d}{d x} (\frac{450}{x}) = - \frac{450}{x ^{2}}

= 2 + 0 - \frac{450}{x ^{2}}

Simplify

= - \frac{450}{x ^{2}} + 2

Graph

Popular Examples

derivative of f(x)= 2/3 (x^2+1)^{3/2}

d er i v a t i v e f (x) = \frac{2}{3} (x^{2} + 1)^{\frac{3}{2}}

y^{''}+y=0,y(pi/3)=0,y^'(pi/3)=6

y^{^{''}} + y = 0, y (\frac{π}{3}) = 0, y^{^{'}} (\frac{π}{3}) = 6

integral of (x+1)/(x^2)

\int \frac{x + 1}{x ^{2}} d x

integral of 1/(x^2+5x+6)

\int \frac{1}{x ^{2} + 5 x + 6} d x

derivative of (x^2+2(x^3+1))

\frac{d}{d x} ((x^{2} + 2) (x^{3} + 1))

Frequently Asked Questions (FAQ)

What is the derivative of 2x+7+(450/x) ?
The derivative of 2x+7+(450/x) is -(450)/(x^2)+2
What is the first derivative of 2x+7+(450/x) ?
The first derivative of 2x+7+(450/x) is -(450)/(x^2)+2