Solve -3.88+4.17y-1.39-3.87y

$$- 3.88 + 4.17 y - 1.39 - 3.87 y$$

Evaluate

$$\frac{3y}{10}-5.27$$

Solution Steps

Subtract 1.39 from -3.88 to get -5.27.

$$-5.27+4.17y-3.87y$$

Combine 4.17y and -3.87y to get 0.3y.

$$-5.27+0.3y$$

Differentiate w.r.t. y

$$0.3$$

Steps Using Derivative Rule for Sum

Subtract 1.39 from -3.88 to get -5.27.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-5.27+4.17y-3.87y)$$

Combine 4.17y and -3.87y to get 0.3y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-5.27+0.3y)$$

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}.

$$0.3y^{1-1}$$

Subtract 1 from 1.

$$0.3y^{0}$$

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

$$0.3\times 1$$

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

$$0.3$$