Solve 35+8k-25+15kdiv3-1

$$35 + 8 k - 25 + 15 k \div 3 - 1$$

Evaluate

$$13k+9$$

Solution Steps

Subtract 25 from 35 to get 10.

$$10+8k+\frac{15k}{3}-1$$

Divide 15k by 3 to get 5k.

$$10+8k+5k-1$$

Combine 8k and 5k to get 13k.

$$10+13k-1$$

Subtract 1 from 10 to get 9.

$$9+13k$$

Differentiate w.r.t. k

$$13$$

Steps Using Derivative Rule for Sum

Subtract 25 from 35 to get 10.

$$\frac{\mathrm{d}}{\mathrm{d}k}(10+8k+\frac{15k}{3}-1)$$

Divide 15k by 3 to get 5k.

$$\frac{\mathrm{d}}{\mathrm{d}k}(10+8k+5k-1)$$

Combine 8k and 5k to get 13k.

$$\frac{\mathrm{d}}{\mathrm{d}k}(10+13k-1)$$

Subtract 1 from 10 to get 9.

$$\frac{\mathrm{d}}{\mathrm{d}k}(9+13k)$$

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}.

$$13k^{1-1}$$

Subtract 1 from 1.

$$13k^{0}$$

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

$$13\times 1$$

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

$$13$$