Solve 22(22)/7r=

$$2 \frac { 2 ( 22 ) } { 7 } r =$$

Evaluate

$$\frac{88r}{7}$$

Solution Steps

Multiply 2 and 22 to get 44.

$$2\times \frac{44}{7}r$$

Express 2\times \frac{44}{7} as a single fraction.

$$\frac{2\times 44}{7}r$$

Multiply 2 and 44 to get 88.

$$\frac{88}{7}r$$

Differentiate w.r.t. r

$$\frac{88}{7} = 12\frac{4}{7} = 12.571428571428571$$

Steps Using Definition of a Derivative

Multiply 2 and 22 to get 44.

$$\frac{\mathrm{d}}{\mathrm{d}r}(2\times \frac{44}{7}r)$$

Express 2\times \frac{44}{7} as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}r}(\frac{2\times 44}{7}r)$$

Multiply 2 and 44 to get 88.

$$\frac{\mathrm{d}}{\mathrm{d}r}(\frac{88}{7}r)$$

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

$$\frac{88}{7}r^{1-1}$$

Subtract 1 from 1.

$$\frac{88}{7}r^{0}$$

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

$$\frac{88}{7}\times 1$$

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

$$\frac{88}{7}$$