Solve 4.95*10^4k

$$4.95 \times 10 ^ { 4 } k$$

Evaluate

$$49500k$$

Solution Steps

Calculate 10 to the power of 4 and get 10000.

$$4.95\times 10000k$$

Multiply 4.95 and 10000 to get 49500.

$$49500k$$

Differentiate w.r.t. k

$$49500$$

Steps Using Definition of a Derivative

Calculate 10 to the power of 4 and get 10000.

$$\frac{\mathrm{d}}{\mathrm{d}k}(4.95\times 10000k)$$

Multiply 4.95 and 10000 to get 49500.

$$\frac{\mathrm{d}}{\mathrm{d}k}(49500k)$$

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

$$49500k^{1-1}$$

Subtract 1 from 1.

$$49500k^{0}$$

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

$$49500\times 1$$

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

$$49500$$