Solve 1000*b/100*5

$$1000 \times \frac { b } { 100 } \times 5$$

Evaluate

$$50b$$

Solution Steps

Multiply 1000 and 5 to get 5000.

$$5000\times \frac{b}{100}$$

Cancel out 100, the greatest common factor in 5000 and 100.

$$50b$$

Differentiate w.r.t. b

$$50$$

Steps Using Definition of a Derivative

Multiply 1000 and 5 to get 5000.

$$\frac{\mathrm{d}}{\mathrm{d}b}(5000\times \frac{b}{100})$$

Cancel out 100, the greatest common factor in 5000 and 100.

$$\frac{\mathrm{d}}{\mathrm{d}b}(50b)$$

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

$$50b^{1-1}$$

Subtract 1 from 1.

$$50b^{0}$$

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

$$50\times 1$$

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

$$50$$