Solve 1/10^100x^2

$$\frac { 1 } { 10 ^ { 100 } } x ^ { 2 }$$

Differentiate w.r.t. x

$$\frac{x}{5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Steps Using Definition of a Derivative

Calculate 10 to the power of 100 and get 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}x^{2})$$

The derivative of ax^{n} is nax^{n-1}.

$$2\times \frac{1}{10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}x^{2-1}$$

Multiply 2 times \frac{1}{10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.

$$\frac{1}{5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}x^{2-1}$$

Subtract 1 from 2.

$$\frac{1}{5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}x^{1}$$

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

$$\frac{1}{5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}x$$

Evaluate

$$\frac{x^{2}}{10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Solution Steps

Calculate 10 to the power of 100 and get 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.

$$\frac{1}{10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}x^{2}$$