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

The derivative of sin(h(x)) is sin(h)

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

The first derivative of sin(h(x)) is sin(h)

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\frac{d}{d x} (sin (h) (x))

sin (h)

Solution steps

\frac{d}{d x} (sin (h) (x))

Treat

h

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= sin (h) \cdot 1

Simplify

= sin (h)

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