Solve 10(3y)

$$10 ( 3 y )$$

Differentiate w.r.t. y

$$30$$

Steps Using Definition of a Derivative

Multiply 10 and 3 to get 30.

$$\frac{\mathrm{d}}{\mathrm{d}y}(30y)$$

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

$$30y^{1-1}$$

Subtract 1 from 1.

$$30y^{0}$$

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

$$30\times 1$$

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

$$30$$

Evaluate

$$30y$$

Solution Steps

Multiply 10 and 3 to get 30.

$$30y$$