Solve x4+2^2-6

$$x4+ { 2 }^{ 2 } -6$$

Evaluate

$$x_{4}-2$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$x_{4}+4-6$$

Subtract 6 from 4 to get -2.

$$x_{4}-2$$

Differentiate w.r.t. x_4

$$1$$

Steps Using Derivative Rule for Sum

Calculate 2 to the power of 2 and get 4.

$$\frac{\mathrm{d}}{\mathrm{d}x_{4}}(x_{4}+4-6)$$

Subtract 6 from 4 to get -2.

$$\frac{\mathrm{d}}{\mathrm{d}x_{4}}(x_{4}-2)$$

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}.

$$x_{4}^{1-1}$$

Subtract 1 from 1.

$$x_{4}^{0}$$

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

$$1$$