What is the derivative of In^4x ?

The derivative of In^4x is n^4I

What is the first derivative of In^4x ?

The first derivative of In^4x is n^4I

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\frac{d}{d x} (I n^{4} x)

n^{4} I

Solution steps

\frac{d}{d x} (I n^{4} x)

Treat

n, I

as a constant

Take the constant out:

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

= I n^{4} \frac{d x}{d x}

Apply the common derivative:

\frac{d x}{d x} = 1

= I n^{4} \cdot 1

Simplify

= n^{4} I

\frac{5 x + 1}{5 x - 1}

y = x, y = x^{6}

y^{^{'}} + \frac{2 y}{x} = 4 x

\int \frac{1}{4 - ( x + 1 ) ^{2}} d x

12 (t + 1) \frac{d y}{d t} - 9 y = 27 t