Solve 5k+(-2k)-(-1)

$$5 k + ( - 2 k ) - ( - 1 )$$

Evaluate

$$3k+1$$

Solution Steps

Combine 5k and -2k to get 3k.

$$3k-\left(-1\right)$$

The opposite of -1 is 1.

$$3k+1$$

Differentiate w.r.t. k

$$3$$

Steps Using Derivative Rule for Sum

Combine 5k and -2k to get 3k.

$$\frac{\mathrm{d}}{\mathrm{d}k}(3k-\left(-1\right))$$

The opposite of -1 is 1.

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

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}.

$$3k^{1-1}$$

Subtract 1 from 1.

$$3k^{0}$$

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

$$3\times 1$$

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

$$3$$