Solve 2pir^2/2pir

$$\frac { 2 \pi r ^ { 2 } } { 2 \pi r }$$

Differentiate w.r.t. r

$$1$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{\mathrm{d}}{\mathrm{d}r}(\frac{2\pi }{2\pi }r^{2-1})$$

Do the arithmetic.

$$\frac{\mathrm{d}}{\mathrm{d}r}(r^{1})$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$r^{1-1}$$

Do the arithmetic.

$$r^{0}$$

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

$$1$$

Evaluate

$$r$$

Solution Steps

Cancel out 2\pi r in both numerator and denominator.

$$r$$