Solve 77777x^2+54225x+24225=

$$77777 { x }^{ 2 } +54225x+24225=$$

Differentiate w.r.t. x

$$155554x+54225$$

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}.

$$2\times 77777x^{2-1}+54225x^{1-1}$$

Multiply 2 times 77777.

$$155554x^{2-1}+54225x^{1-1}$$

Subtract 1 from 2.

$$155554x^{1}+54225x^{1-1}$$

Subtract 1 from 1.

$$155554x^{1}+54225x^{0}$$

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

$$155554x+54225x^{0}$$

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

$$155554x+54225\times 1$$

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

$$155554x+54225$$

Evaluate

$$77777x^{2}+54225x+24225$$