Solve f(x):x^2+10x+27

$$f ( x ) : x ^ { 2 } + 10 x + 27$$

Evaluate

$$10x+\frac{f}{x}+27$$

Short Solution Steps

Cancel out x in both numerator and denominator.

$$\frac{f}{x}+10x+27$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 10x+27 times \frac{x}{x}.

$$\frac{f}{x}+\frac{\left(10x+27\right)x}{x}$$

Since \frac{f}{x} and \frac{\left(10x+27\right)x}{x} have the same denominator, add them by adding their numerators.

$$\frac{f+\left(10x+27\right)x}{x}$$

Do the multiplications in f+\left(10x+27\right)x.

$$\frac{f+10x^{2}+27x}{x}$$

Differentiate w.r.t. x

$$10-\frac{f}{x^{2}}$$