What is the derivative of sin(x+3) ?

The derivative of sin(x+3) is cos(x+3)

What is the first derivative of sin(x+3) ?

The first derivative of sin(x+3) is cos(x+3)

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\frac{d}{d x} (sin (x + 3))

cos (x + 3)

Solution steps

\frac{d}{d x} (sin (x + 3))

Apply the chain rule:

cos (x + 3) \frac{d}{d x} (x + 3)

= cos (x + 3) \frac{d}{d x} (x + 3)

\frac{d}{d x} (x + 3) = 1

= cos (x + 3) \cdot 1

Simplify

= cos (x + 3)

What is the derivative of sin(x+3) ?
The derivative of sin(x+3) is cos(x+3)
What is the first derivative of sin(x+3) ?
The first derivative of sin(x+3) is cos(x+3)