Calculus Examples

$f (x) = \frac{1}{18} x^{3} - \frac{27}{2} x + 81$ ; $c = - 18$

Step 1

Replace the variable $c$ with $- 18$ in the expression.

$f (x) = \frac{1}{18} x^{3} - \frac{27}{2} x + 81$

Step 2

Simplify the result.

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Step 2.1

Simplify each term.

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Step 2.1.1

Combine $\frac{1}{18}$ and $x^{3}$ .

$f (x) = \frac{x^{3}}{18} - \frac{27}{2} x + 81$

Step 2.1.2

Combine $x$ and $\frac{27}{2}$ .

$f (x) = \frac{x^{3}}{18} - \frac{x \cdot 27}{2} + 81$

Step 2.1.3

Move $27$ to the left of $x$ .

$f (x) = \frac{x^{3}}{18} - \frac{27 x}{2} + 81$

Step 2.2

The final answer is $\frac{x^{3}}{18} - \frac{27 x}{2} + 81$ .

$\frac{x^{3}}{18} - \frac{27 x}{2} + 81$

Step 3