Solve 50*1/2x

$$50 \times \frac{ 1 }{ 2 } x$$

Evaluate

$$25x$$

Solution Steps

Multiply 50 and \frac{1}{2} to get \frac{50}{2}.

$$\frac{50}{2}x$$

Divide 50 by 2 to get 25.

$$25x$$

Differentiate w.r.t. x

$$25$$

Steps Using Definition of a Derivative

Multiply 50 and \frac{1}{2} to get \frac{50}{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{50}{2}x)$$

Divide 50 by 2 to get 25.

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

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

$$25x^{1-1}$$

Subtract 1 from 1.

$$25x^{0}$$

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

$$25\times 1$$

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

$$25$$