Find dx/dt x=3t - MathMaster

$x = 3 t$

Differentiate both sides of the equation.

$\frac{d}{d t} (x) = \frac{d}{d t} (3 t)$

The derivative of $x$ with respect to $t$ is $x'$ .

$x'$

Differentiate the right side of the equation.

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Since $3$ is constant with respect to $t$ , the derivative of $3 t$ with respect to $t$ is $3 \frac{d}{d t} [t]$ .

$3 \frac{d}{d t} [t]$

Differentiate using the Power Rule which states that $\frac{d}{d t} [t^{n}]$ is $n t^{n - 1}$ where $n = 1$ .

$3 \cdot 1$

Multiply $3$ by $1$ .

$3$

Reform the equation by setting the left side equal to the right side.

$x' = 3$

Replace $x'$ with $\frac{d x}{d t}$ .

$\frac{d x}{d t} = 3$

Find dx/dt x=3t

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