Solve 22,40t*100/5

$$\frac { 22,40 t \cdot 100 } { 5 }$$

Evaluate

$$448t$$

Solution Steps

Multiply 22,4 and 100 to get 2240.

$$\frac{2240t}{5}$$

Divide 2240t by 5 to get 448t.

$$448t$$

Differentiate w.r.t. t

$$448$$

Steps Using Definition of a Derivative

Multiply 22,4 and 100 to get 2240.

$$\frac{\mathrm{d}}{\mathrm{d}t}(\frac{2240t}{5})$$

Divide 2240t by 5 to get 448t.

$$\frac{\mathrm{d}}{\mathrm{d}t}(448t)$$

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

$$448t^{1-1}$$

Subtract 1 from 1.

$$448t^{0}$$

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

$$448\times 1$$

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

$$448$$