Solve (3)^2-k(3)+2

$$( 3 ) ^ { 2 } - k ( 3 ) + 2$$

Evaluate

$$11-3k$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$9-k\times 3+2$$

Multiply -1 and 3 to get -3.

$$9-3k+2$$

Add 9 and 2 to get 11.

$$11-3k$$

Differentiate w.r.t. k

$$-3$$

Steps Using Derivative Rule for Sum

Calculate 3 to the power of 2 and get 9.

$$\frac{\mathrm{d}}{\mathrm{d}k}(9-k\times 3+2)$$

Multiply -1 and 3 to get -3.

$$\frac{\mathrm{d}}{\mathrm{d}k}(9-3k+2)$$

Add 9 and 2 to get 11.

$$\frac{\mathrm{d}}{\mathrm{d}k}(11-3k)$$

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.

$$-3$$