Solve 789x^2698%56

$$789 { x }^{ 2 } 698 \% 56$$

Evaluate

$$\frac{7710108x^{2}}{25}$$

Solution Steps

Reduce the fraction \frac{698}{100} to lowest terms by extracting and canceling out 2.

$$789x^{2}\times \frac{349}{50}\times 56$$

Multiply 789 and \frac{349}{50} to get \frac{275361}{50}.

$$\frac{275361}{50}x^{2}\times 56$$

Multiply \frac{275361}{50} and 56 to get \frac{7710108}{25}.

$$\frac{7710108}{25}x^{2}$$

Differentiate w.r.t. x

$$\frac{15420216x}{25}$$

Steps Using Definition of a Derivative

Reduce the fraction \frac{698}{100} to lowest terms by extracting and canceling out 2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(789x^{2}\times \frac{349}{50}\times 56)$$

Multiply 789 and \frac{349}{50} to get \frac{275361}{50}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{275361}{50}x^{2}\times 56)$$

Multiply \frac{275361}{50} and 56 to get \frac{7710108}{25}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{7710108}{25}x^{2})$$

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

$$2\times \frac{7710108}{25}x^{2-1}$$

Multiply 2 times \frac{7710108}{25}.

$$\frac{15420216}{25}x^{2-1}$$

Subtract 1 from 2.

$$\frac{15420216}{25}x^{1}$$

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

$$\frac{15420216}{25}x$$