Solve 2pi*R150/300=

$$2 \pi * R \frac { 150 } { 300 } =$$

Evaluate

$$\pi R$$

Solution Steps

Reduce the fraction \frac{150}{300} to lowest terms by extracting and canceling out 150.

$$2\pi R\times \frac{1}{2}$$

Cancel out 2 and 2.

$$\pi R$$

Differentiate w.r.t. R

$$\pi$$

Steps Using Definition of a Derivative

Reduce the fraction \frac{150}{300} to lowest terms by extracting and canceling out 150.

$$\frac{\mathrm{d}}{\mathrm{d}R}(2\pi R\times \frac{1}{2})$$

Cancel out 2 and 2.

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

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

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

Subtract 1 from 1.

$$\pi R^{0}$$

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

$$\pi \times 1$$

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

$$\pi$$