Solve c(-84):(-7):(-4)

$$c ( - 84 ) : ( - 7 ) : ( - 4 )$$

Evaluate

$$-3c$$

Solution Steps

Express \frac{\frac{c\left(-84\right)}{-7}}{-4} as a single fraction.

$$\frac{c\left(-84\right)}{-7\left(-4\right)}$$

Cancel out 4\times 7 in both numerator and denominator.

$$\frac{-3c}{-\left(-1\right)}$$

Multiply -1 and -1 to get 1.

$$\frac{-3c}{1}$$

Anything divided by one gives itself.

$$-3c$$

Differentiate w.r.t. c

$$-3$$

Steps Using Definition of a Derivative

Express \frac{\frac{c\left(-84\right)}{-7}}{-4} as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}c}(\frac{c\left(-84\right)}{-7\left(-4\right)})$$

Cancel out 4\times 7 in both numerator and denominator.

$$\frac{\mathrm{d}}{\mathrm{d}c}(\frac{-3c}{-\left(-1\right)})$$

Multiply -1 and -1 to get 1.

$$\frac{\mathrm{d}}{\mathrm{d}c}(\frac{-3c}{1})$$

Anything divided by one gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}c}(-3c)$$

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

$$-3c^{1-1}$$

Subtract 1 from 1.

$$-3c^{0}$$

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

$$-3$$