Solve (22/7)(j2)(42)

$$( \frac { 22 } { 7 } ) ( j 2 ) ( 42 )$$

Evaluate

$$132j_{2}$$

Solution Steps

Express \frac{22}{7}\times 42 as a single fraction.

$$\frac{22\times 42}{7}j_{2}$$

Multiply 22 and 42 to get 924.

$$\frac{924}{7}j_{2}$$

Divide 924 by 7 to get 132.

$$132j_{2}$$

Differentiate w.r.t. j_2

$$132$$

Steps Using Definition of a Derivative

Express \frac{22}{7}\times 42 as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}j_{2}}(\frac{22\times 42}{7}j_{2})$$

Multiply 22 and 42 to get 924.

$$\frac{\mathrm{d}}{\mathrm{d}j_{2}}(\frac{924}{7}j_{2})$$

Divide 924 by 7 to get 132.

$$\frac{\mathrm{d}}{\mathrm{d}j_{2}}(132j_{2})$$

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

$$132j_{2}^{1-1}$$

Subtract 1 from 1.

$$132j_{2}^{0}$$

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

$$132\times 1$$

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

$$132$$