Solve (10.)quad144y520

$$( 10 . ) \quad 144 y 520$$

Differentiate w.r.t. y_520

$$1440$$

Steps Using Definition of a Derivative

Multiply 10 and 144 to get 1440.

$$\frac{\mathrm{d}}{\mathrm{d}y_{520}}(1440y_{520})$$

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

$$1440y_{520}^{1-1}$$

Subtract 1 from 1.

$$1440y_{520}^{0}$$

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

$$1440\times 1$$

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

$$1440$$

Evaluate

$$1440y_{520}$$

Solution Steps

Multiply 10 and 144 to get 1440.

$$1440y_{520}$$