Solve 2x/4*47

$$2 x / 4 \times 47$$

Evaluate

$$\frac{47x}{2}$$

Solution Steps

Divide 2x by 4 to get \frac{1}{2}x.

$$\frac{1}{2}x\times 47$$

Multiply \frac{1}{2} and 47 to get \frac{47}{2}.

$$\frac{47}{2}x$$

Differentiate w.r.t. x

$$\frac{47}{2} = 23\frac{1}{2} = 23.5$$

Steps Using Definition of a Derivative

Divide 2x by 4 to get \frac{1}{2}x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{2}x\times 47)$$

Multiply \frac{1}{2} and 47 to get \frac{47}{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{47}{2}x)$$

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

$$\frac{47}{2}x^{1-1}$$

Subtract 1 from 1.

$$\frac{47}{2}x^{0}$$

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

$$\frac{47}{2}\times 1$$

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

$$\frac{47}{2}$$