Solve -5.81+8.19y-0.32-1.89y

$$- 5.81 + 8.19 y - 0.32 - 1.89 y$$

Evaluate

$$\frac{63y}{10}-6.13$$

Solution Steps

Subtract 0.32 from -5.81 to get -6.13.

$$-6.13+8.19y-1.89y$$

Combine 8.19y and -1.89y to get 6.3y.

$$-6.13+6.3y$$

Differentiate w.r.t. y

$$6.3$$

Steps Using Derivative Rule for Sum

Subtract 0.32 from -5.81 to get -6.13.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-6.13+8.19y-1.89y)$$

Combine 8.19y and -1.89y to get 6.3y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-6.13+6.3y)$$

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}.

$$6.3y^{1-1}$$

Subtract 1 from 1.

$$6.3y^{0}$$

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

$$6.3\times 1$$

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

$$6.3$$