What is the derivative of Inx^2 ?

The derivative of Inx^2 is 2nIx

What is the first derivative of Inx^2 ?

The first derivative of Inx^2 is 2nIx

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

2 n I x

Solution steps

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

Treat

n, I

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 2 n I x

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

\frac{d}{d x} (\frac{x}{4 + x})

3 y^{^{''}} + 8 y^{^{'}} - 16 y = 0

y^{^{''}} + 4 y = e^{- x}

\frac{\partial}{\partial x} (t^{2} e^{- x})