Solve 15*37*y*45

$$15 \cdot 37 \cdot y \cdot 45$$

Evaluate

$$24975y$$

Solution Steps

Multiply 15 and 37 to get 555.

$$555y\times 45$$

Multiply 555 and 45 to get 24975.

$$24975y$$

Differentiate w.r.t. y

$$24975$$

Steps Using Definition of a Derivative

Multiply 15 and 37 to get 555.

$$\frac{\mathrm{d}}{\mathrm{d}y}(555y\times 45)$$

Multiply 555 and 45 to get 24975.

$$\frac{\mathrm{d}}{\mathrm{d}y}(24975y)$$

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

$$24975y^{1-1}$$

Subtract 1 from 1.

$$24975y^{0}$$

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

$$24975\times 1$$

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

$$24975$$