Solve 5l^2+6-+l

$$5 { l }^{ 2 } +6-+l$$

Differentiate w.r.t. l

$$10l-1$$

Steps Using Derivative Rule for Sum

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}.

$$2\times 5l^{2-1}-l^{1-1}$$

Multiply 2 times 5.

$$10l^{2-1}-l^{1-1}$$

Subtract 1 from 2.

$$10l^{1}-l^{1-1}$$

Subtract 1 from 1.

$$10l^{1}-l^{0}$$

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

$$10l-l^{0}$$

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

$$10l-1$$

Evaluate

$$5l^{2}-l+6$$