Solve 412^2-8k-21

$$412 ^ { 2 } - 8 k - 21$$

Evaluate

$$169723-8k$$

Solution Steps

Calculate 412 to the power of 2 and get 169744.

$$169744-8k-21$$

Subtract 21 from 169744 to get 169723.

$$169723-8k$$

Differentiate w.r.t. k

$$-8$$

Steps Using Derivative Rule for Sum

Calculate 412 to the power of 2 and get 169744.

$$\frac{\mathrm{d}}{\mathrm{d}k}(169744-8k-21)$$

Subtract 21 from 169744 to get 169723.

$$\frac{\mathrm{d}}{\mathrm{d}k}(169723-8k)$$

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}.

$$-8k^{1-1}$$

Subtract 1 from 1.

$$-8k^{0}$$

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

$$-8$$