Solve x(-5div79)*555

$$x(-5 \div 79) \times 555$$

Evaluate

$$-\frac{2775x}{79}$$

Solution Steps

Fraction \frac{-5}{79} can be rewritten as -\frac{5}{79} by extracting the negative sign.

$$x\left(-\frac{5}{79}\right)\times 555$$

Express -\frac{5}{79}\times 555 as a single fraction.

$$x\times \frac{-5\times 555}{79}$$

Multiply -5 and 555 to get -2775.

$$x\times \frac{-2775}{79}$$

Fraction \frac{-2775}{79} can be rewritten as -\frac{2775}{79} by extracting the negative sign.

$$x\left(-\frac{2775}{79}\right)$$

Differentiate w.r.t. x

$$-\frac{2775}{79} = -35\frac{10}{79} = -35.12658227848101$$

Steps Using Definition of a Derivative

Fraction \frac{-5}{79} can be rewritten as -\frac{5}{79} by extracting the negative sign.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\left(-\frac{5}{79}\right)\times 555)$$

Express -\frac{5}{79}\times 555 as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times \frac{-5\times 555}{79})$$

Multiply -5 and 555 to get -2775.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times \frac{-2775}{79})$$

Fraction \frac{-2775}{79} can be rewritten as -\frac{2775}{79} by extracting the negative sign.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\left(-\frac{2775}{79}\right))$$

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

$$-\frac{2775}{79}x^{1-1}$$

Subtract 1 from 1.

$$-\frac{2775}{79}x^{0}$$

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

$$-\frac{2775}{79}$$