Solve x+4/3div4/9

$$x+ \frac{ 4 }{ 3 } \div \frac{ 4 }{ 9 }$$

Evaluate

$$x+3$$

Solution Steps

Divide \frac{4}{3} by \frac{4}{9} by multiplying \frac{4}{3} by the reciprocal of \frac{4}{9}.

$$x+\frac{4}{3}\times \frac{9}{4}$$

Multiply \frac{4}{3} times \frac{9}{4} by multiplying numerator times numerator and denominator times denominator.

$$x+\frac{4\times 9}{3\times 4}$$

Cancel out 4 in both numerator and denominator.

$$x+\frac{9}{3}$$

Divide 9 by 3 to get 3.

$$x+3$$

Differentiate w.r.t. x

$$1$$

Steps Using Derivative Rule for Sum

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}.

$$x^{1-1}$$

Subtract 1 from 1.

$$x^{0}$$

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

$$1$$