Solve 4/7x*21=

$$\frac{ 4 }{ 7 } x \times 21=$$

Evaluate

$$12x$$

Solution Steps

Express \frac{4}{7}\times 21 as a single fraction.

$$\frac{4\times 21}{7}x$$

Multiply 4 and 21 to get 84.

$$\frac{84}{7}x$$

Divide 84 by 7 to get 12.

$$12x$$

Differentiate w.r.t. x

$$12$$

Steps Using Definition of a Derivative

Express \frac{4}{7}\times 21 as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4\times 21}{7}x)$$

Multiply 4 and 21 to get 84.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{84}{7}x)$$

Divide 84 by 7 to get 12.

$$\frac{\mathrm{d}}{\mathrm{d}x}(12x)$$

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

$$12x^{1-1}$$

Subtract 1 from 1.

$$12x^{0}$$

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

$$12\times 1$$

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

$$12$$