Solve -8.46+1.97y-1.13-4.14y

$$- 8.46 + 1.97 y - 1.13 - 4.14 y$$

Evaluate

$$\frac{-217y-959}{100}$$

Solution Steps

Subtract 1.13 from -8.46 to get -9.59.

$$-9.59+1.97y-4.14y$$

Combine 1.97y and -4.14y to get -2.17y.

$$-9.59-2.17y$$

Differentiate w.r.t. y

$$-2.17$$

Steps Using Derivative Rule for Sum

Subtract 1.13 from -8.46 to get -9.59.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-9.59+1.97y-4.14y)$$

Combine 1.97y and -4.14y to get -2.17y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-9.59-2.17y)$$

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}.

$$-2.17y^{1-1}$$

Subtract 1 from 1.

$$-2.17y^{0}$$

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

$$-2.17$$