What is the derivative of 5sin(x+1) ?

The derivative of 5sin(x+1) is 5cos(x+1)

What is the first derivative of 5sin(x+1) ?

The first derivative of 5sin(x+1) is 5cos(x+1)

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derivative

5 cos (x + 1)

Solution steps

\frac{d}{d x} (5 sin (x + 1))

Take the constant out:

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

= 5 \frac{d}{d x} (sin (x + 1))

Apply the chain rule:

cos (x + 1) \frac{d}{d x} (x + 1)

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

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

= 5 cos (x + 1) \cdot 1

Simplify

= 5 cos (x + 1)

What is the derivative of 5sin(x+1) ?
The derivative of 5sin(x+1) is 5cos(x+1)
What is the first derivative of 5sin(x+1) ?
The first derivative of 5sin(x+1) is 5cos(x+1)