What is the derivative of In(sin(x)) ?

The derivative of In(sin(x)) is Incos(x)

What is the first derivative of In(sin(x)) ?

The first derivative of In(sin(x)) is Incos(x)

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\frac{d}{d x} (I n (sin (x)))

I n cos (x)

Solution steps

\frac{d}{d x} (I n (sin (x)))

Treat

n, I

as a constant

Take the constant out:

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

= I n \frac{d}{d x} (sin (x))

Apply the common derivative:

\frac{d}{d x} (sin (x)) = cos (x)

= I n cos (x)

What is the derivative of In(sin(x)) ?
The derivative of In(sin(x)) is Incos(x)
What is the first derivative of In(sin(x)) ?
The first derivative of In(sin(x)) is Incos(x)