Solve x*110%1320

$$x \times 110 \% 1320$$

Evaluate

$$1452x$$

Solution Steps

Reduce the fraction \frac{110}{100} to lowest terms by extracting and canceling out 10.

$$x\times \frac{11}{10}\times 1320$$

Express \frac{11}{10}\times 1320 as a single fraction.

$$x\times \frac{11\times 1320}{10}$$

Multiply 11 and 1320 to get 14520.

$$x\times \frac{14520}{10}$$

Divide 14520 by 10 to get 1452.

$$x\times 1452$$

Differentiate w.r.t. x

$$1452$$

Steps Using Definition of a Derivative

Reduce the fraction \frac{110}{100} to lowest terms by extracting and canceling out 10.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times \frac{11}{10}\times 1320)$$

Express \frac{11}{10}\times 1320 as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times \frac{11\times 1320}{10})$$

Multiply 11 and 1320 to get 14520.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times \frac{14520}{10})$$

Divide 14520 by 10 to get 1452.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times 1452)$$

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

$$1452x^{1-1}$$

Subtract 1 from 1.

$$1452x^{0}$$

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

$$1452\times 1$$

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

$$1452$$