Solve 25*60kdiv5

$$25 \cdot 60 k \div 5$$

Evaluate

$$300k$$

Solution Steps

Multiply 25 and 60 to get 1500.

$$\frac{1500k}{5}$$

Divide 1500k by 5 to get 300k.

$$300k$$

Differentiate w.r.t. k

$$300$$

Steps Using Definition of a Derivative

Multiply 25 and 60 to get 1500.

$$\frac{\mathrm{d}}{\mathrm{d}k}(\frac{1500k}{5})$$

Divide 1500k by 5 to get 300k.

$$\frac{\mathrm{d}}{\mathrm{d}k}(300k)$$

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

$$300k^{1-1}$$

Subtract 1 from 1.

$$300k^{0}$$

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

$$300\times 1$$

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

$$300$$