Solve x/ax*x^2+1

$$\frac { x } { a x } \times x ^ { 2 } + 1$$

Evaluate

$$\frac{x^{2}+a}{a}$$

Solution Steps

Cancel out x in both numerator and denominator.

$$\frac{1}{a}x^{2}+1$$

Express \frac{1}{a}x^{2} as a single fraction.

$$\frac{x^{2}}{a}+1$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{a}{a}.

$$\frac{x^{2}}{a}+\frac{a}{a}$$

Since \frac{x^{2}}{a} and \frac{a}{a} have the same denominator, add them by adding their numerators.

$$\frac{x^{2}+a}{a}$$

Differentiate w.r.t. x

$$\frac{2x}{a}$$