Solve (03)text{y}(35)

$$( 03 ) \text { y } ( 35 )$$

Differentiate w.r.t. y

$$105$$

Steps Using Definition of a Derivative

Multiply 3 and 35 to get 105.

$$\frac{\mathrm{d}}{\mathrm{d}y}(105y)$$

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

$$105y^{1-1}$$

Subtract 1 from 1.

$$105y^{0}$$

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

$$105\times 1$$

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

$$105$$

Evaluate

$$105y$$

Solution Steps

Multiply 3 and 35 to get 105.

$$105y$$