Calculus Examples

$f (0) = \frac{(b - b^{2})}{(1 + b^{2})}$

Step 1

Replace the variable $b$ with $0$ in the expression.

$f (0) = \frac{(0) - {(0)}^{2}}{1 + {(0)}^{2}}$

Step 2

Simplify the result.

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Step 2.1

Simplify the numerator.

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Step 2.1.1

Raising $0$ to any positive power yields $0$ .

$f (0) = \frac{0 - 0}{1 + 0^{2}}$

Step 2.1.2

Multiply $- 1$ by $0$ .

$f (0) = \frac{0 + 0}{1 + 0^{2}}$

Step 2.1.3

Add $0$ and $0$ .

$f (0) = \frac{0}{1 + 0^{2}}$

$f (0) = \frac{0}{1 + 0^{2}}$

Step 2.2

Simplify the denominator.

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Step 2.2.1

Raising $0$ to any positive power yields $0$ .

$f (0) = \frac{0}{1 + 0}$

Step 2.2.2

Add $1$ and $0$ .

$f (0) = \frac{0}{1}$

$f (0) = \frac{0}{1}$

Step 2.3

Divide $0$ by $1$ .

$f (0) = 0$

Step 2.4

The final answer is $0$ .

$0$

$0$

Step 3

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$