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Popular >

derivative of-ax+d/(x^2)

Solution

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

Solution

- a - \frac{2 d}{x ^{3}}

Solution steps

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

Treat

a, d

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= - a - \frac{2 d}{x ^{3}}

Graph

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(dy)/(dx)=sqrt(4y)e^{x+10}

\frac{d y}{d x} = 4 y e^{x + 10}

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Frequently Asked Questions (FAQ)

What is the derivative of-ax+d/(x^2) ?
The derivative of-ax+d/(x^2) is -a-(2d)/(x^3)
What is the first derivative of-ax+d/(x^2) ?
The first derivative of-ax+d/(x^2) is -a-(2d)/(x^3)