Solve h^3+4h^2-25h-10

$$h ^ { 3 } + 4 h ^ { 2 } - 25 h - 10$$

Differentiate w.r.t. h

$$3h^{2}+8h-25$$

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}.

$$3h^{3-1}+2\times 4h^{2-1}-25h^{1-1}$$

Subtract 1 from 3.

$$3h^{2}+2\times 4h^{2-1}-25h^{1-1}$$

Multiply 2 times 4.

$$3h^{2}+8h^{2-1}-25h^{1-1}$$

Subtract 1 from 2.

$$3h^{2}+8h^{1}-25h^{1-1}$$

Subtract 1 from 1.

$$3h^{2}+8h^{1}-25h^{0}$$

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

$$3h^{2}+8h-25h^{0}$$

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

$$3h^{2}+8h-25$$

Evaluate

$$h^{3}+4h^{2}-25h-10$$