Solve x/dx3b+17

$$\frac { x } { d x } 3 b + 17$$

Evaluate

$$\frac{3b}{d}+17$$

Solution Steps

Cancel out x in both numerator and denominator.

$$\frac{1}{d}\times 3b+17$$

Express \frac{1}{d}\times 3 as a single fraction.

$$\frac{3}{d}b+17$$

Express \frac{3}{d}b as a single fraction.

$$\frac{3b}{d}+17$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 17 times \frac{d}{d}.

$$\frac{3b}{d}+\frac{17d}{d}$$

Since \frac{3b}{d} and \frac{17d}{d} have the same denominator, add them by adding their numerators.

$$\frac{3b+17d}{d}$$

Differentiate w.r.t. d

$$-\frac{3b}{d^{2}}$$