Solve 10r*1.5*54=

$$10 r \cdot 1.5 \cdot 5 4 =$$

Evaluate

$$300r$$

Solution Steps

Multiply 10 and 1.5 to get 15.

$$15r\times 5\times 4$$

Multiply 15 and 5 to get 75.

$$75r\times 4$$

Multiply 75 and 4 to get 300.

$$300r$$

Differentiate w.r.t. r

$$300$$

Steps Using Definition of a Derivative

Multiply 10 and 1.5 to get 15.

$$\frac{\mathrm{d}}{\mathrm{d}r}(15r\times 5\times 4)$$

Multiply 15 and 5 to get 75.

$$\frac{\mathrm{d}}{\mathrm{d}r}(75r\times 4)$$

Multiply 75 and 4 to get 300.

$$\frac{\mathrm{d}}{\mathrm{d}r}(300r)$$

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

$$300r^{1-1}$$

Subtract 1 from 1.

$$300r^{0}$$

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

$$300\times 1$$

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

$$300$$