Solve (5r^3+6r-2)

$$( 5 r ^ { 3 } + 6 r - 2 )$$

Differentiate w.r.t. r

$$15r^{2}+6$$

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}.

$$3\times 5r^{3-1}+6r^{1-1}$$

Multiply 3 times 5.

$$15r^{3-1}+6r^{1-1}$$

Subtract 1 from 3.

$$15r^{2}+6r^{1-1}$$

Subtract 1 from 1.

$$15r^{2}+6r^{0}$$

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

$$15r^{2}+6\times 1$$

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

$$15r^{2}+6$$

Evaluate

$$5r^{3}+6r-2$$