Solve 1/2*80x

$$\frac { 1 } { 2 } \times 80 x$$

Evaluate

$$40x$$

Solution Steps

Multiply \frac{1}{2} and 80 to get \frac{80}{2}.

$$\frac{80}{2}x$$

Divide 80 by 2 to get 40.

$$40x$$

Differentiate w.r.t. x

$$40$$

Steps Using Definition of a Derivative

Multiply \frac{1}{2} and 80 to get \frac{80}{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{80}{2}x)$$

Divide 80 by 2 to get 40.

$$\frac{\mathrm{d}}{\mathrm{d}x}(40x)$$

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

$$40x^{1-1}$$

Subtract 1 from 1.

$$40x^{0}$$

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

$$40\times 1$$

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

$$40$$