Solve 4sqrt{1}R

$$4 \sqrt { 1 } R$$

Evaluate

$$4R$$

Solution Steps

Calculate the square root of 1 and get 1.

$$4\times 1R$$

Multiply 4 and 1 to get 4.

$$4R$$

Differentiate w.r.t. R

$$4$$

Steps Using Definition of a Derivative

Calculate the square root of 1 and get 1.

$$\frac{\mathrm{d}}{\mathrm{d}R}(4\times 1R)$$

Multiply 4 and 1 to get 4.

$$\frac{\mathrm{d}}{\mathrm{d}R}(4R)$$

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

$$4R^{1-1}$$

Subtract 1 from 1.

$$4R^{0}$$

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

$$4\times 1$$

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

$$4$$