Solve 14c^2/7c=

$$\frac { 14 c ^ { 2 } } { 7 c } =$$

Evaluate

$$2c$$

Steps for Quotient of Exponentials

Use the rules of exponents to simplify the expression.

$$\frac{14^{1}c^{2}}{7^{1}c^{1}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{14^{1}c^{2-1}}{7^{1}}$$

Subtract 1 from 2.

$$\frac{14^{1}c^{1}}{7^{1}}$$

Divide 14 by 7.

$$2c^{1}$$

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

$$2c$$

Differentiate w.r.t. c

$$2$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{\mathrm{d}}{\mathrm{d}c}(\frac{14}{7}c^{2-1})$$

Do the arithmetic.

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

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

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

Do the arithmetic.

$$2c^{0}$$

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

$$2\times 1$$

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

$$2$$