Calculus Examples

$f (x) = \frac{{(6.001)}^{2} - 6 \cdot 6.001}{{(6.001)}^{2} - (6.001) - 30}$

Step 1

Rewrite the function as an equation.

$y = \frac{{(6.001)}^{2} - 6 \cdot 6.001}{{(6.001)}^{2} - (6.001) - 30}$

Step 2

Remove parentheses.

$y = \frac{{6.001}^{2} - 6 \cdot 6.001}{{(6.001)}^{2} - (6.001) - 30}$

Step 3

Remove parentheses.

$y = \frac{{6.001}^{2} - 6 \cdot 6.001}{{6.001}^{2} - (6.001) - 30}$

Step 4

Simplify $\frac{{6.001}^{2} - 6 \cdot 6.001}{{6.001}^{2} - (6.001) - 30}$ .

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Step 4.1

Simplify the numerator.

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Step 4.1.1

Raise $6.001$ to the power of $2$ .

$y = \frac{36.012001 - 6 \cdot 6.001}{{6.001}^{2} - (6.001) - 30}$

Step 4.1.2

Multiply $- 6$ by $6.001$ .

$y = \frac{36.012001 - 36.006}{{6.001}^{2} - (6.001) - 30}$

Step 4.1.3

Subtract $36.006$ from $36.012001$ .

$y = \frac{0.006001}{{6.001}^{2} - (6.001) - 30}$

Step 4.2

Simplify the denominator.

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Step 4.2.1

Raise $6.001$ to the power of $2$ .

$y = \frac{0.006001}{36.012001 - (6.001) - 30}$

Step 4.2.2

Multiply $- 1$ by $6.001$ .

$y = \frac{0.006001}{36.012001 - 6.001 - 30}$

Step 4.2.3

Subtract $6.001$ from $36.012001$ .

$y = \frac{0.006001}{30.011001 - 30}$

Step 4.2.4

Subtract $30$ from $30.011001$ .

$y = \frac{0.006001}{0.011001}$

Step 4.3

Divide $0.006001$ by $0.011001$ .

$y = 0.54549586$