Solve 121-198x^4+81x^12

$$121 - 198 x ^ { 4 } + 81 x ^ { 12 }$$

Differentiate w.r.t. x

$$972x^{11}-792x^{3}$$

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}.

$$4\left(-198\right)x^{4-1}+12\times 81x^{12-1}$$

Multiply 4 times -198.

$$-792x^{4-1}+12\times 81x^{12-1}$$

Subtract 1 from 4.

$$-792x^{3}+12\times 81x^{12-1}$$

Multiply 12 times 81.

$$-792x^{3}+972x^{12-1}$$

Subtract 1 from 12.

$$-792x^{3}+972x^{11}$$

Evaluate

$$81x^{12}-198x^{4}+121$$