Solve 1000000x20%=

$$1000000x20 \% =$$

Evaluate

$$200000x$$

Solution Steps

Reduce the fraction \frac{20}{100} to lowest terms by extracting and canceling out 20.

$$1000000x\times \frac{1}{5}$$

Multiply 1000000 and \frac{1}{5} to get \frac{1000000}{5}.

$$\frac{1000000}{5}x$$

Divide 1000000 by 5 to get 200000.

$$200000x$$

Differentiate w.r.t. x

$$200000$$

Steps Using Definition of a Derivative

Reduce the fraction \frac{20}{100} to lowest terms by extracting and canceling out 20.

$$\frac{\mathrm{d}}{\mathrm{d}x}(1000000x\times \frac{1}{5})$$

Multiply 1000000 and \frac{1}{5} to get \frac{1000000}{5}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1000000}{5}x)$$

Divide 1000000 by 5 to get 200000.

$$\frac{\mathrm{d}}{\mathrm{d}x}(200000x)$$

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

$$200000x^{1-1}$$

Subtract 1 from 1.

$$200000x^{0}$$

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

$$200000\times 1$$

For any term t, t\times 1=t and 1t=t.

$$200000$$