Solve f36x^2+12x+1

$$f 36 x ^ { 2 } + 12 x + 1$$

Differentiate w.r.t. x

$$2\left(f_{36}x+6\right)$$

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}.

$$2f_{36}x^{2-1}+12x^{1-1}$$

Subtract 1 from 2.

$$2f_{36}x^{1}+12x^{1-1}$$

Subtract 1 from 1.

$$2f_{36}x^{1}+12x^{0}$$

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

$$2f_{36}x+12x^{0}$$

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

$$2f_{36}x+12\times 1$$

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

$$2f_{36}x+12$$

Evaluate

$$f_{36}x^{2}+12x+1$$