Solve -2c^3y^3/-c^2y^3=

$$\frac { - 2 c ^ { 3 } y ^ { 3 } } { - c ^ { 2 } y ^ { 3 } } =$$

Evaluate

$$2c$$

Solution Steps

Cancel out y^{3} in both numerator and denominator.

$$\frac{-2c^{3}}{-c^{2}}$$

Cancel out c^{2} in both numerator and denominator.

$$\frac{-2c}{-1}$$

Anything divided by -1 gives its opposite.

$$2c$$

Differentiate w.r.t. c

$$2$$

Steps Using Definition of a Derivative

Cancel out y^{3} in both numerator and denominator.

$$\frac{\mathrm{d}}{\mathrm{d}c}(\frac{-2c^{3}}{-c^{2}})$$

Cancel out c^{2} in both numerator and denominator.

$$\frac{\mathrm{d}}{\mathrm{d}c}(\frac{-2c}{-1})$$

Anything divided by -1 gives its opposite.

$$\frac{\mathrm{d}}{\mathrm{d}c}(2c)$$

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

$$2c^{1-1}$$

Subtract 1 from 1.

$$2c^{0}$$

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

$$2\times 1$$

For any term t, t\times 1=t and 1t=t.

$$2$$