Solve 15y-3*y*4=

$$15 y - 3 \times y \times 4 =$$

Evaluate

$$3y$$

Solution Steps

Multiply 3 and 4 to get 12.

$$15y-12y$$

Combine 15y and -12y to get 3y.

$$3y$$

Differentiate w.r.t. y

$$3$$

Steps Using Definition of a Derivative

Multiply 3 and 4 to get 12.

$$\frac{\mathrm{d}}{\mathrm{d}y}(15y-12y)$$

Combine 15y and -12y to get 3y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(3y)$$

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

$$3y^{1-1}$$

Subtract 1 from 1.

$$3y^{0}$$

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

$$3\times 1$$

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

$$3$$