Solve 15*60^2y^2

$$15 \times 60 ^ { 2 } y ^ { 2 }$$

Evaluate

$$54000y^{2}$$

Solution Steps

Calculate 60 to the power of 2 and get 3600.

$$15\times 3600y^{2}$$

Multiply 15 and 3600 to get 54000.

$$54000y^{2}$$

Differentiate w.r.t. y

$$108000y$$

Steps Using Definition of a Derivative

Calculate 60 to the power of 2 and get 3600.

$$\frac{\mathrm{d}}{\mathrm{d}y}(15\times 3600y^{2})$$

Multiply 15 and 3600 to get 54000.

$$\frac{\mathrm{d}}{\mathrm{d}y}(54000y^{2})$$

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

$$2\times 54000y^{2-1}$$

Multiply 2 times 54000.

$$108000y^{2-1}$$

Subtract 1 from 2.

$$108000y^{1}$$

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

$$108000y$$