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Derivative of $6 x$

The calculator will find the derivative of

6 x

, with steps shown.

Your Input

Find $\frac{d}{dx} \left(6 x\right)$ .

Solution

Apply the constant multiple rule $\frac{d}{dx} \left(c f{\left(x \right)}\right) = c \frac{d}{dx} \left(f{\left(x \right)}\right)$ with $c = 6$ and $f{\left(x \right)} = x$ :

{\color{red}\left(\frac{d}{dx} \left(6 x\right)\right)} = {\color{red}\left(6 \frac{d}{dx} \left(x\right)\right)}

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

6 {\color{red}\left(\frac{d}{dx} \left(x\right)\right)} = 6 {\color{red}\left(1\right)}

Thus, $\frac{d}{dx} \left(6 x\right) = 6$ .

Answer

$\frac{d}{dx} \left(6 x\right) = 6$ A

Derivative of 6x6 x6x

Your Input

Solution

Answer

Derivative of $6 x$