Solve 1/2*10*x

$$\frac{ 1 }{ 2 } \times 10 \times x$$

Evaluate

$$5x$$

Solution Steps

Multiply \frac{1}{2} and 10 to get \frac{10}{2}.

$$\frac{10}{2}x$$

Divide 10 by 2 to get 5.

$$5x$$

Differentiate w.r.t. x

$$5$$

Steps Using Definition of a Derivative

Multiply \frac{1}{2} and 10 to get \frac{10}{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{10}{2}x)$$

Divide 10 by 2 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.

$$5$$