Solve 883y*60*200/10^6

$$\frac { 883 y \cdot 60 \cdot 200 } { 10 ^ { 6 } }$$

Evaluate

$$\frac{2649y}{250}$$

Solution Steps

Multiply 883 and 60 to get 52980.

$$\frac{52980y\times 200}{10^{6}}$$

Multiply 52980 and 200 to get 10596000.

$$\frac{10596000y}{10^{6}}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{10596000y}{1000000}$$

Divide 10596000y by 1000000 to get \frac{2649}{250}y.

$$\frac{2649}{250}y$$

Differentiate w.r.t. y

$$\frac{2649}{250} = 10\frac{149}{250} = 10.596$$

Steps Using Definition of a Derivative

Multiply 883 and 60 to get 52980.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{52980y\times 200}{10^{6}})$$

Multiply 52980 and 200 to get 10596000.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{10596000y}{10^{6}})$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{10596000y}{1000000})$$

Divide 10596000y by 1000000 to get \frac{2649}{250}y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{2649}{250}y)$$

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

$$\frac{2649}{250}y^{1-1}$$

Subtract 1 from 1.

$$\frac{2649}{250}y^{0}$$

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

$$\frac{2649}{250}\times 1$$

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

$$\frac{2649}{250}$$