Solve {l}{40*20}{+50+2}{+x^2}

$$\left. \begin{array} { l } { 40 \times 20 } \\ { + 50 + 2 } \\ { + x ^ { 2 } } \end{array} \right.$$

Evaluate

$$x^{2}+852$$

Solution Steps

Multiply 40 and 20 to get 800.

$$800+50+2+x^{2}$$

Add 800 and 50 to get 850.

$$850+2+x^{2}$$

Add 850 and 2 to get 852.

$$852+x^{2}$$

Differentiate w.r.t. x

$$2x$$

Steps Using Derivative Rule for Sum

Multiply 40 and 20 to get 800.

$$\frac{\mathrm{d}}{\mathrm{d}x}(800+50+2+x^{2})$$

Add 800 and 50 to get 850.

$$\frac{\mathrm{d}}{\mathrm{d}x}(850+2+x^{2})$$

Add 850 and 2 to get 852.

$$\frac{\mathrm{d}}{\mathrm{d}x}(852+x^{2})$$

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}.

$$2x^{2-1}$$

Subtract 1 from 2.

$$2x^{1}$$

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

$$2x$$