What is the derivative of-(In(x^3)/x) ?

The derivative of-(In(x^3)/x) is -2nIx

What is the first derivative of-(In(x^3)/x) ?

The first derivative of-(In(x^3)/x) is -2nIx

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\frac{d}{d x} (- \frac{I n ( x ^{3} )}{x})

- 2 n I x

Solution steps

\frac{d}{d x} (- \frac{I n ( x ^{3} )}{x})

Simplify

- \frac{I n ( x ^{3} )}{x} : - n I x^{2}

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

Treat

n, I

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= - n I \cdot 2 x^{2 - 1}

Simplify

= - 2 n I x

x^{5} + x^{2} y + 9 y^{2} = 13

y = 4 x - x^{2}, y = 3 - x

\frac{\partial}{\partial x} (cos (3 x))

\int (sec (x) - \frac{1}{sin ( x )} + cos (x)) d x

\frac{\partial}{\partial x} (sin (\frac{x}{1 + y}))

What is the derivative of-(In(x^3)/x) ?
The derivative of-(In(x^3)/x) is -2nIx
What is the first derivative of-(In(x^3)/x) ?
The first derivative of-(In(x^3)/x) is -2nIx