Solve 1264,9w/200*44=

$$\frac { 1264,9 w } { 200 \cdot 44 } =$$

Evaluate

$$\frac{12649w}{88000}$$

Solution Steps

Multiply 200 and 44 to get 8800.

$$\frac{1264,9w}{8800}$$

Divide 1264,9w by 8800 to get \frac{12649}{88000}w.

$$\frac{12649}{88000}w$$

Differentiate w.r.t. w

$$\frac{12649}{88000} = 0.14373863636363637$$

Steps Using Definition of a Derivative

Multiply 200 and 44 to get 8800.

$$\frac{\mathrm{d}}{\mathrm{d}w}(\frac{1264,9w}{8800})$$

Divide 1264,9w by 8800 to get \frac{12649}{88000}w.

$$\frac{\mathrm{d}}{\mathrm{d}w}(\frac{12649}{88000}w)$$

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

$$\frac{12649}{88000}w^{1-1}$$

Subtract 1 from 1.

$$\frac{12649}{88000}w^{0}$$

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

$$\frac{12649}{88000}\times 1$$

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

$$\frac{12649}{88000}$$