Solve -3lambda-7,8-5,4+4,6=

$$- 3 \lambda - 7,8 - 5,4 + 4,6 =$$

Evaluate

$$-3\lambda -8,6$$

Solution Steps

Subtract 5,4 from -7,8 to get -13,2.

$$-3\lambda -13,2+4,6$$

Add -13,2 and 4,6 to get -8,6.

$$-3\lambda -8,6$$

Differentiate w.r.t. λ

$$-3$$

Steps Using Derivative Rule for Sum

Subtract 5,4 from -7,8 to get -13,2.

$$\frac{\mathrm{d}}{\mathrm{d}\lambda }(-3\lambda -13,2+4,6)$$

Add -13,2 and 4,6 to get -8,6.

$$\frac{\mathrm{d}}{\mathrm{d}\lambda }(-3\lambda -8,6)$$

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}.

$$-3\lambda ^{1-1}$$

Subtract 1 from 1.

$$-3\lambda ^{0}$$

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

$$-3$$