Solve 145.7y-43y-172.5y+21.7y

$$145.7 y - 43 y - 172.5 y + 21.7 y$$

Evaluate

$$-\frac{481y}{10}$$

Solution Steps

Combine 145.7y and -43y to get 102.7y.

$$102.7y-172.5y+21.7y$$

Combine 102.7y and -172.5y to get -69.8y.

$$-69.8y+21.7y$$

Combine -69.8y and 21.7y to get -48.1y.

$$-48.1y$$

Differentiate w.r.t. y

$$-48.1$$

Steps Using Definition of a Derivative

Combine 145.7y and -43y to get 102.7y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(102.7y-172.5y+21.7y)$$

Combine 102.7y and -172.5y to get -69.8y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-69.8y+21.7y)$$

Combine -69.8y and 21.7y to get -48.1y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-48.1y)$$

The derivative of ax^{n} is nax^{n-1}.

$$-48.1y^{1-1}$$

Subtract 1 from 1.

$$-48.1y^{0}$$

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

$$-48.1$$