Solve y:x^3+3x^2+2x

$$y : x ^ { 3 } + 3 x ^ { 2 } + 2 x$$

Evaluate

$$3x^{2}+2x+\frac{y}{x^{3}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 3x^{2}+2x times \frac{x^{3}}{x^{3}}.

$$\frac{y}{x^{3}}+\frac{\left(3x^{2}+2x\right)x^{3}}{x^{3}}$$

Since \frac{y}{x^{3}} and \frac{\left(3x^{2}+2x\right)x^{3}}{x^{3}} have the same denominator, add them by adding their numerators.

$$\frac{y+\left(3x^{2}+2x\right)x^{3}}{x^{3}}$$

Do the multiplications in y+\left(3x^{2}+2x\right)x^{3}.

$$\frac{y+3x^{5}+2x^{4}}{x^{3}}$$

Differentiate w.r.t. x

$$6x+2-\frac{3y}{x^{4}}$$