Solve 2(k)quad12(2)3

$$2 ( k ) \quad 12 ( 2 ) 3$$

Evaluate

$$144k$$

Solution Steps

Multiply 2 and 12 to get 24.

$$24k\times 2\times 3$$

Multiply 24 and 2 to get 48.

$$48k\times 3$$

Multiply 48 and 3 to get 144.

$$144k$$

Differentiate w.r.t. k

$$144$$

Steps Using Definition of a Derivative

Multiply 2 and 12 to get 24.

$$\frac{\mathrm{d}}{\mathrm{d}k}(24k\times 2\times 3)$$

Multiply 24 and 2 to get 48.

$$\frac{\mathrm{d}}{\mathrm{d}k}(48k\times 3)$$

Multiply 48 and 3 to get 144.

$$\frac{\mathrm{d}}{\mathrm{d}k}(144k)$$

The derivative of ax^{n} is nax^{n-1}.

$$144k^{1-1}$$

Subtract 1 from 1.

$$144k^{0}$$

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

$$144\times 1$$

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

$$144$$