Solve f(-3)=sqrt{(-3)^2}-2(w)

$$f ( - 3 ) = \sqrt { ( - 3 ) ^ { 2 } } - 2 ( w )$$

Evaluate

$$3-2w$$

Solution Steps

Calculate -3 to the power of 2 and get 9.

$$\sqrt{9}-2w$$

Calculate the square root of 9 and get 3.

$$3-2w$$

Differentiate w.r.t. w

$$-2$$

Steps Using Derivative Rule for Sum

Calculate -3 to the power of 2 and get 9.

$$\frac{\mathrm{d}}{\mathrm{d}w}(\sqrt{9}-2w)$$

Calculate the square root of 9 and get 3.

$$\frac{\mathrm{d}}{\mathrm{d}w}(3-2w)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$-2w^{1-1}$$

Subtract 1 from 1.

$$-2w^{0}$$

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

$$-2$$