Solve 460div15div100*x^2=

$$460 \div 15 \div 100 \times { x }^{ 2 } =$$

Evaluate

$$\frac{23x^{2}}{75}$$

Solution Steps

Express \frac{\frac{460}{15}}{100} as a single fraction.

$$\frac{460}{15\times 100}x^{2}$$

Multiply 15 and 100 to get 1500.

$$\frac{460}{1500}x^{2}$$

Reduce the fraction \frac{460}{1500} to lowest terms by extracting and canceling out 20.

$$\frac{23}{75}x^{2}$$

Differentiate w.r.t. x

$$\frac{46x}{75}$$

Steps Using Definition of a Derivative

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

$$2\times \frac{23}{75}x^{2-1}$$

Multiply 2 times \frac{23}{75}.

$$\frac{46}{75}x^{2-1}$$

Subtract 1 from 2.

$$\frac{46}{75}x^{1}$$

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

$$\frac{46}{75}x$$