What is the derivative of 3x^{-1}+5pi ?

The derivative of 3x^{-1}+5pi is -3/(x^2)

What is the first derivative of 3x^{-1}+5pi ?

The first derivative of 3x^{-1}+5pi is -3/(x^2)

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\frac{d}{d x} (3 x^{- 1} + 5 π)

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

Solution steps

\frac{d}{d x} (3 x^{- 1} + 5 π)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x^{- 1}) + \frac{d}{d x} (5 π)

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

\frac{d}{d x} (5 π) = 0

= - \frac{3}{x ^{2}} + 0

Simplify

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

\frac{\partial}{\partial x} (x^{3} e^{y} sin (x - y))

7 sin (5 x)

\int \frac{1}{x ^{3} + 2} d x

f (x) = x^{2} - 3, (3, 6)

\frac{d y}{d x} = 3 x e^{y}, y (0) = 0

What is the derivative of 3x^{-1}+5pi ?
The derivative of 3x^{-1}+5pi is -3/(x^2)
What is the first derivative of 3x^{-1}+5pi ?
The first derivative of 3x^{-1}+5pi is -3/(x^2)