Solve 20x*1/4=

$$20 x \cdot \frac { 1 } { 4 } =$$

Evaluate

$$5x$$

Solution Steps

Multiply 20 and \frac{1}{4} to get \frac{20}{4}.

$$\frac{20}{4}x$$

Divide 20 by 4 to get 5.

$$5x$$

Differentiate w.r.t. x

$$5$$

Steps Using Definition of a Derivative

Multiply 20 and \frac{1}{4} to get \frac{20}{4}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{20}{4}x)$$

Divide 20 by 4 to get 5.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x)$$

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

$$5x^{1-1}$$

Subtract 1 from 1.

$$5x^{0}$$

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

$$5\times 1$$

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

$$5$$