Solve 47^2+x-4

$$47 ^ { 2 } + x - 4$$

Evaluate

$$x+2205$$

Solution Steps

Calculate 47 to the power of 2 and get 2209.

$$2209+x-4$$

Subtract 4 from 2209 to get 2205.

$$2205+x$$

Differentiate w.r.t. x

$$1$$

Steps Using Derivative Rule for Sum

Calculate 47 to the power of 2 and get 2209.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2209+x-4)$$

Subtract 4 from 2209 to get 2205.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2205+x)$$

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}.

$$x^{1-1}$$

Subtract 1 from 1.

$$x^{0}$$

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

$$1$$