Solve -3k+7-6+2k

$$- 3 k + 7 - 6 + 2 k$$

Evaluate

$$1-k$$

Solution Steps

Subtract 6 from 7 to get 1.

$$-3k+1+2k$$

Combine -3k and 2k to get -k.

$$-k+1$$

Differentiate w.r.t. k

$$-1$$

Steps Using Derivative Rule for Sum

Subtract 6 from 7 to get 1.

$$\frac{\mathrm{d}}{\mathrm{d}k}(-3k+1+2k)$$

Combine -3k and 2k to get -k.

$$\frac{\mathrm{d}}{\mathrm{d}k}(-k+1)$$

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}.

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

Subtract 1 from 1.

$$-k^{0}$$

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

$$-1$$