Solve (0.3)text{y}(3.5)

$$( 0.3 ) \text { y } ( 3.5 )$$

Differentiate w.r.t. y

$$1.05$$

Steps Using Definition of a Derivative

Multiply 0.3 and 3.5 to get 1.05.

$$\frac{\mathrm{d}}{\mathrm{d}y}(1.05y)$$

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

$$1.05y^{1-1}$$

Subtract 1 from 1.

$$1.05y^{0}$$

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

$$1.05\times 1$$

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

$$1.05$$

Evaluate

$$\frac{21y}{20}$$

Solution Steps

Multiply 0.3 and 3.5 to get 1.05.

$$1.05y$$