Solve 2x/2pi^-1

$$\frac { 2 x } { 2 \pi ^ { - 1 } }$$

Evaluate

$$\pi x$$

Solution Steps

Cancel out 2 in both numerator and denominator.

$$\frac{x}{\frac{1}{\pi }}$$

Divide x by \frac{1}{\pi } by multiplying x by the reciprocal of \frac{1}{\pi }.

$$x\pi$$

Differentiate w.r.t. x

$$\pi$$

Steps Using Definition of a Derivative

Cancel out 2 in both numerator and denominator.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{\frac{1}{\pi }})$$

Divide x by \frac{1}{\pi } by multiplying x by the reciprocal of \frac{1}{\pi }.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\pi )$$

The derivative of ax^{n} is nax^{n-1}.

$$\pi x^{1-1}$$

Subtract 1 from 1.

$$\pi x^{0}$$

For any term t except 0, t^{0}=1.

$$\pi \times 1$$

For any term t, t\times 1=t and 1t=t.

$$\pi$$