Solve x-9999*446/9999*446-6^20

$$x- \frac{ 9999 \times 446 }{ 9999 \times 446 } - { 6 }^{ 20 }$$

Evaluate

$$x-3656158440062977$$

Solution Steps

Divide 9999\times 446 by 9999\times 446 to get 1.

$$x-1-6^{20}$$

Calculate 6 to the power of 20 and get 3656158440062976.

$$x-1-3656158440062976$$

Subtract 3656158440062976 from -1 to get -3656158440062977.

$$x-3656158440062977$$

Differentiate w.r.t. x

$$1$$

Steps Using Derivative Rule for Sum

Divide 9999\times 446 by 9999\times 446 to get 1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-1-6^{20})$$

Calculate 6 to the power of 20 and get 3656158440062976.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-1-3656158440062976)$$

Subtract 3656158440062976 from -1 to get -3656158440062977.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-3656158440062977)$$

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.

$$1$$