# Derivative of $$$2 t$$$

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### Your Input

**Find $$$\frac{d}{dt} \left(2 t\right)$$$.**

### Solution

**Apply the constant multiple rule $$$\frac{d}{dt} \left(c f{\left(t \right)}\right) = c \frac{d}{dt} \left(f{\left(t \right)}\right)$$$ with $$$c = 2$$$ and $$$f{\left(t \right)} = t$$$:**

**Apply the power rule $$$\frac{d}{dt} \left(t^{n}\right) = n t^{n - 1}$$$ with $$$n = 1$$$, in other words, $$$\frac{d}{dt} \left(t\right) = 1$$$:**

Thus, $$$\frac{d}{dt} \left(2 t\right) = 2$$$.

### Answer

**$$$\frac{d}{dt} \left(2 t\right) = 2$$$A**