Solve y+15quad3y-13

$$y + 15 \quad 3 y - 13$$

Evaluate

$$46y-13$$

Solution Steps

Multiply 15 and 3 to get 45.

$$y+45y-13$$

Combine y and 45y to get 46y.

$$46y-13$$

Differentiate w.r.t. y

$$46$$

Steps Using Derivative Rule for Sum

Multiply 15 and 3 to get 45.

$$\frac{\mathrm{d}}{\mathrm{d}y}(y+45y-13)$$

Combine y and 45y to get 46y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(46y-13)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$46y^{1-1}$$

Subtract 1 from 1.

$$46y^{0}$$

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

$$46\times 1$$

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

$$46$$