Solve 333quad1.5Kquad223

$$333 \quad 1.5 K \quad 223$$

Differentiate w.r.t. K_223

$$499.5$$

Steps Using Definition of a Derivative

Multiply 333 and 1.5 to get 499.5.

$$\frac{\mathrm{d}}{\mathrm{d}K_{223}}(499.5K_{223})$$

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

$$499.5K_{223}^{1-1}$$

Subtract 1 from 1.

$$499.5K_{223}^{0}$$

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

$$499.5\times 1$$

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

$$499.5$$

Evaluate

$$\frac{999K_{223}}{2}$$

Solution Steps

Multiply 333 and 1.5 to get 499.5.

$$499.5K_{223}$$