Solve =1000Js^-1*3600s

$$= 1000 J s ^ { - 1 } \times 3600 s$$

Evaluate

$$3600000J$$

Solution Steps

Multiply s^{-1} and s to get 1.

$$1000J\times 3600$$

Multiply 1000 and 3600 to get 3600000.

$$3600000J$$

Differentiate w.r.t. J

$$3600000$$

Steps Using Definition of a Derivative

Multiply s^{-1} and s to get 1.

$$\frac{\mathrm{d}}{\mathrm{d}J}(1000J\times 3600)$$

Multiply 1000 and 3600 to get 3600000.

$$\frac{\mathrm{d}}{\mathrm{d}J}(3600000J)$$

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

$$3600000J^{1-1}$$

Subtract 1 from 1.

$$3600000J^{0}$$

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

$$3600000\times 1$$

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

$$3600000$$