Solve a/dx[(a+x/b)]

$$\frac { a } { d x } [ ( \frac { a + x } { b } ) ]$$

Evaluate

$$\frac{a\left(x+a\right)}{bdx}$$

Short Solution Steps

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

$$\frac{a\left(a+x\right)}{dxb}$$

Use the distributive property to multiply a by a+x.

$$\frac{a^{2}+ax}{dxb}$$

Expand

$$\frac{ax+a^{2}}{bdx}$$

Short Solution Steps

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

$$\frac{a\left(a+x\right)}{dxb}$$

Use the distributive property to multiply a by a+x.

$$\frac{a^{2}+ax}{dxb}$$