Solve 9*18/2x*19*7=

$$9 \cdot \frac { 18 } { 2 } x \cdot 19 \times 7 =$$

Evaluate

$$10773x$$

Solution Steps

Divide 18 by 2 to get 9.

$$9\times 9x\times 19\times 7$$

Multiply 9 and 9 to get 81.

$$81x\times 19\times 7$$

Multiply 81 and 19 to get 1539.

$$1539x\times 7$$

Multiply 1539 and 7 to get 10773.

$$10773x$$

Differentiate w.r.t. x

$$10773$$

Steps Using Definition of a Derivative

Divide 18 by 2 to get 9.

$$\frac{\mathrm{d}}{\mathrm{d}x}(9\times 9x\times 19\times 7)$$

Multiply 9 and 9 to get 81.

$$\frac{\mathrm{d}}{\mathrm{d}x}(81x\times 19\times 7)$$

Multiply 81 and 19 to get 1539.

$$\frac{\mathrm{d}}{\mathrm{d}x}(1539x\times 7)$$

Multiply 1539 and 7 to get 10773.

$$\frac{\mathrm{d}}{\mathrm{d}x}(10773x)$$

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

$$10773x^{1-1}$$

Subtract 1 from 1.

$$10773x^{0}$$

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

$$10773\times 1$$

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

$$10773$$