Solve 12k+16k-3

$$12 k + 16 k - 3$$

Differentiate w.r.t. k

$$28$$

Steps Using Derivative Rule for Sum

Combine 12k and 16k to get 28k.

$$\frac{\mathrm{d}}{\mathrm{d}k}(28k-3)$$

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}.

$$28k^{1-1}$$

Subtract 1 from 1.

$$28k^{0}$$

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

$$28\times 1$$

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

$$28$$

Evaluate

$$28k-3$$

Solution Steps

Combine 12k and 16k to get 28k.

$$28k-3$$