Solve x+a/b*b/a

$$x + \frac { a } { b } \times \frac { b } { a }$$

Evaluate

$$x+1$$

Solution Steps

Multiply \frac{a}{b} times \frac{b}{a} by multiplying numerator times numerator and denominator times denominator.

$$x+\frac{ab}{ba}$$

Cancel out ab in both numerator and denominator.

$$x+1$$

Differentiate w.r.t. x

$$1$$

Steps Using Derivative Rule for Sum

Multiply \frac{a}{b} times \frac{b}{a} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x+\frac{ab}{ba})$$

Cancel out ab in both numerator and denominator.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x+1)$$

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}.

$$x^{1-1}$$

Subtract 1 from 1.

$$x^{0}$$

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

$$1$$