Solve x%2*7

$$x \% 2 \times 7$$

Evaluate

$$\frac{7x}{50}$$

Solution Steps

Multiply 2 and 7 to get 14.

$$\frac{x}{100}\times 14$$

Express \frac{x}{100}\times 14 as a single fraction.

$$\frac{x\times 14}{100}$$

Divide x\times 14 by 100 to get x\times \frac{7}{50}.

$$x\times \frac{7}{50}$$

Differentiate w.r.t. x

$$\frac{7}{50} = 0.14$$

Steps Using Definition of a Derivative

Multiply 2 and 7 to get 14.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{100}\times 14)$$

Express \frac{x}{100}\times 14 as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x\times 14}{100})$$

Divide x\times 14 by 100 to get x\times \frac{7}{50}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times \frac{7}{50})$$

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

$$\frac{7}{50}x^{1-1}$$

Subtract 1 from 1.

$$\frac{7}{50}x^{0}$$

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

$$\frac{7}{50}\times 1$$

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

$$\frac{7}{50}$$