Solve 4ab/11*22c/ab

$$\frac { 4 a b } { 11 } * \frac { 22 c } { a b }$$

Evaluate

$$8c$$

Solution Steps

Multiply \frac{4ab}{11} times \frac{22c}{ab} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4ab\times 22c}{11ab}$$

Cancel out 11ab in both numerator and denominator.

$$2\times 4c$$

Multiply 2 and 4 to get 8.

$$8c$$

Differentiate w.r.t. c

$$8$$

Steps Using Definition of a Derivative

Multiply \frac{4ab}{11} times \frac{22c}{ab} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\mathrm{d}}{\mathrm{d}c}(\frac{4ab\times 22c}{11ab})$$

Cancel out 11ab in both numerator and denominator.

$$\frac{\mathrm{d}}{\mathrm{d}c}(2\times 4c)$$

Multiply 2 and 4 to get 8.

$$\frac{\mathrm{d}}{\mathrm{d}c}(8c)$$

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

$$8c^{1-1}$$

Subtract 1 from 1.

$$8c^{0}$$

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

$$8\times 1$$

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

$$8$$