Solve x^266%9

$${ x }^{ 2 } 66 \% 9$$

Evaluate

$$\frac{297x^{2}}{50}$$

Solution Steps

Reduce the fraction \frac{66}{100} to lowest terms by extracting and canceling out 2.

$$x^{2}\times \frac{33}{50}\times 9$$

Multiply \frac{33}{50} and 9 to get \frac{297}{50}.

$$x^{2}\times \frac{297}{50}$$

Differentiate w.r.t. x

$$\frac{297x}{25}$$

Steps Using Definition of a Derivative

Reduce the fraction \frac{66}{100} to lowest terms by extracting and canceling out 2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}\times \frac{33}{50}\times 9)$$

Multiply \frac{33}{50} and 9 to get \frac{297}{50}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}\times \frac{297}{50})$$

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

$$2\times \frac{297}{50}x^{2-1}$$

Multiply 2 times \frac{297}{50}.

$$\frac{297}{25}x^{2-1}$$

Subtract 1 from 2.

$$\frac{297}{25}x^{1}$$

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

$$\frac{297}{25}x$$