Solve -9.46+7.81y-5.56-3.67y

$$- 9.46 + 7.81 y - 5.56 - 3.67 y$$

Evaluate

$$\frac{207y-751}{50}$$

Solution Steps

Subtract 5.56 from -9.46 to get -15.02.

$$-15.02+7.81y-3.67y$$

Combine 7.81y and -3.67y to get 4.14y.

$$-15.02+4.14y$$

Differentiate w.r.t. y

$$4.14$$

Steps Using Derivative Rule for Sum

Subtract 5.56 from -9.46 to get -15.02.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-15.02+7.81y-3.67y)$$

Combine 7.81y and -3.67y to get 4.14y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-15.02+4.14y)$$

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}.

$$4.14y^{1-1}$$

Subtract 1 from 1.

$$4.14y^{0}$$

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

$$4.14\times 1$$

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

$$4.14$$