Solve 33%4x=

$$33 \% 4 x =$$

Evaluate

$$\frac{33x}{25}$$

Solution Steps

Express \frac{33}{100}\times 4 as a single fraction.

$$\frac{33\times 4}{100}x$$

Multiply 33 and 4 to get 132.

$$\frac{132}{100}x$$

Reduce the fraction \frac{132}{100} to lowest terms by extracting and canceling out 4.

$$\frac{33}{25}x$$

Differentiate w.r.t. x

$$\frac{33}{25} = 1\frac{8}{25} = 1.32$$

Steps Using Definition of a Derivative

Express \frac{33}{100}\times 4 as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{33\times 4}{100}x)$$

Multiply 33 and 4 to get 132.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{132}{100}x)$$

Reduce the fraction \frac{132}{100} to lowest terms by extracting and canceling out 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{33}{25}x)$$

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

$$\frac{33}{25}x^{1-1}$$

Subtract 1 from 1.

$$\frac{33}{25}x^{0}$$

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

$$\frac{33}{25}\times 1$$

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

$$\frac{33}{25}$$