Solve (5^2+1)-3x3

$$( { 5 }^{ 2 } +1)-3x3$$

Evaluate

$$26-3x_{3}$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$25+1-3x_{3}$$

Add 25 and 1 to get 26.

$$26-3x_{3}$$

Differentiate w.r.t. x_3

$$-3$$

Steps Using Derivative Rule for Sum

Calculate 5 to the power of 2 and get 25.

$$\frac{\mathrm{d}}{\mathrm{d}x_{3}}(25+1-3x_{3})$$

Add 25 and 1 to get 26.

$$\frac{\mathrm{d}}{\mathrm{d}x_{3}}(26-3x_{3})$$

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}.

$$-3x_{3}^{1-1}$$

Subtract 1 from 1.

$$-3x_{3}^{0}$$

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

$$-3$$