Solve 5L+2M-5L+M=

$$5 L + 2 M - 5 L + M =$$

Evaluate

$$3M$$

Solution Steps

Combine 5L and -5L to get 0.

$$2M+M$$

Combine 2M and M to get 3M.

$$3M$$

Differentiate w.r.t. M

$$3$$

Steps Using Definition of a Derivative

Combine 5L and -5L to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}M}(2M+M)$$

Combine 2M and M to get 3M.

$$\frac{\mathrm{d}}{\mathrm{d}M}(3M)$$

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

$$3M^{1-1}$$

Subtract 1 from 1.

$$3M^{0}$$

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

$$3\times 1$$

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

$$3$$