Solve 5L-14L+8

$$5 L - 14 L + 8$$

Differentiate w.r.t. L

$$-9$$

Steps Using Derivative Rule for Sum

Combine 5L and -14L to get -9L.

$$\frac{\mathrm{d}}{\mathrm{d}L}(-9L+8)$$

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}.

$$-9L^{1-1}$$

Subtract 1 from 1.

$$-9L^{0}$$

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

$$-9$$

Evaluate

$$8-9L$$

Solution Steps

Combine 5L and -14L to get -9L.

$$-9L+8$$