Solve 1728y*35%=

$$1728y \times 35 \% =$$

Evaluate

$$\frac{3024y}{5}$$

Solution Steps

Reduce the fraction \frac{35}{100} to lowest terms by extracting and canceling out 5.

$$1728y\times \frac{7}{20}$$

Express 1728\times \frac{7}{20} as a single fraction.

$$\frac{1728\times 7}{20}y$$

Multiply 1728 and 7 to get 12096.

$$\frac{12096}{20}y$$

Reduce the fraction \frac{12096}{20} to lowest terms by extracting and canceling out 4.

$$\frac{3024}{5}y$$

Differentiate w.r.t. y

$$\frac{3024}{5} = 604\frac{4}{5} = 604.8$$

Steps Using Definition of a Derivative

Reduce the fraction \frac{35}{100} to lowest terms by extracting and canceling out 5.

$$\frac{\mathrm{d}}{\mathrm{d}y}(1728y\times \frac{7}{20})$$

Express 1728\times \frac{7}{20} as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{1728\times 7}{20}y)$$

Multiply 1728 and 7 to get 12096.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{12096}{20}y)$$

Reduce the fraction \frac{12096}{20} to lowest terms by extracting and canceling out 4.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{3024}{5}y)$$

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

$$\frac{3024}{5}y^{1-1}$$

Subtract 1 from 1.

$$\frac{3024}{5}y^{0}$$

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

$$\frac{3024}{5}\times 1$$

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

$$\frac{3024}{5}$$