Solve k+2,4k-6,3k-2

$$k + 2,4 k - 6,3 k - 2$$

Evaluate

$$-\frac{29k}{10}-2$$

Solution Steps

Combine k and 2,4k to get 3,4k.

$$3,4k-6,3k-2$$

Combine 3,4k and -6,3k to get -2,9k.

$$-2,9k-2$$

Differentiate w.r.t. k

$$-2,9$$

Steps Using Derivative Rule for Sum

Combine k and 2,4k to get 3,4k.

$$\frac{\mathrm{d}}{\mathrm{d}k}(3,4k-6,3k-2)$$

Combine 3,4k and -6,3k to get -2,9k.

$$\frac{\mathrm{d}}{\mathrm{d}k}(-2,9k-2)$$

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}.

$$-2,9k^{1-1}$$

Subtract 1 from 1.

$$-2,9k^{0}$$

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

$$-2,9$$