Solve O62+(39-1204+05)

$$O 62 + ( 39 - 1204 + 05 )$$

Evaluate

$$O_{62}-1165$$

Solution Steps

Subtract 1204 from 39 to get -1165.

$$O_{62}-1165+0\times 5$$

Multiply 0 and 5 to get 0.

$$O_{62}-1165+0$$

Add -1165 and 0 to get -1165.

$$O_{62}-1165$$

Differentiate w.r.t. O_62

$$1$$

Steps Using Derivative Rule for Sum

Subtract 1204 from 39 to get -1165.

$$\frac{\mathrm{d}}{\mathrm{d}O_{62}}(O_{62}-1165+0\times 5)$$

Multiply 0 and 5 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}O_{62}}(O_{62}-1165+0)$$

Add -1165 and 0 to get -1165.

$$\frac{\mathrm{d}}{\mathrm{d}O_{62}}(O_{62}-1165)$$

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}.

$$O_{62}^{1-1}$$

Subtract 1 from 1.

$$O_{62}^{0}$$

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

$$1$$