Solve k(-5)+(+8)-(-3)-(+2)

$$k ( - 5 ) + ( + 8 ) - ( - 3 ) - ( + 2 )$$

Evaluate

$$9-5k$$

Solution Steps

The opposite of -3 is 3.

$$k\left(-5\right)+8+3-2$$

Add 8 and 3 to get 11.

$$k\left(-5\right)+11-2$$

Subtract 2 from 11 to get 9.

$$k\left(-5\right)+9$$

Differentiate w.r.t. k

$$-5$$

Steps Using Derivative Rule for Sum

The opposite of -3 is 3.

$$\frac{\mathrm{d}}{\mathrm{d}k}(k\left(-5\right)+8+3-2)$$

Add 8 and 3 to get 11.

$$\frac{\mathrm{d}}{\mathrm{d}k}(k\left(-5\right)+11-2)$$

Subtract 2 from 11 to get 9.

$$\frac{\mathrm{d}}{\mathrm{d}k}(k\left(-5\right)+9)$$

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}.

$$-5k^{1-1}$$

Subtract 1 from 1.

$$-5k^{0}$$

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

$$-5$$