Calculus Examples

$1 + (\frac{1}{2}) (0.1234) + \frac{{((\frac{- 1}{4}) (0.1234))}^{2}}{2!}$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Combine $\frac{1}{2}$ and $0.1234$ .

$1 + \frac{0.1234}{2} + \frac{{((\frac{- 1}{4}) (0.1234))}^{2}}{2!}$

Step 1.2

Divide $0.1234$ by $2$ .

$1 + 0.0617 + \frac{{((\frac{- 1}{4}) (0.1234))}^{2}}{2!}$

Step 1.3

Simplify the numerator.

Tap for more steps...

Step 1.3.1

Move the negative in front of the fraction.

$1 + 0.0617 + \frac{{(- \frac{1}{4} \cdot 0.1234)}^{2}}{2!}$

Step 1.3.2

Combine exponents.

Tap for more steps...

Step 1.3.2.1

Multiply $0.1234$ by $- 1$ .

$1 + 0.0617 + \frac{{(- 0.1234 (\frac{1}{4}))}^{2}}{2!}$

Step 1.3.2.2

Combine $- 0.1234$ and $\frac{1}{4}$ .

$1 + 0.0617 + \frac{{(\frac{- 0.1234}{4})}^{2}}{2!}$

Step 1.3.3

Apply the product rule to $\frac{- 0.1234}{4}$ .

$1 + 0.0617 + \frac{\frac{{(- 0.1234)}^{2}}{4^{2}}}{2!}$

Step 1.3.4

Raise $- 0.1234$ to the power of $2$ .

$1 + 0.0617 + \frac{\frac{0.01522756}{4^{2}}}{2!}$

Step 1.3.5

Raise $4$ to the power of $2$ .

$1 + 0.0617 + \frac{\frac{0.01522756}{16}}{2!}$

Step 1.3.6

Divide $0.01522756$ by $16$ .

$1 + 0.0617 + \frac{0.00095172}{2!}$

Step 1.4

Simplify the denominator.

Tap for more steps...

Step 1.4.1

Expand $2!$ to $2 \cdot 1$ .

$1 + 0.0617 + \frac{0.00095172}{2 \cdot 1}$

Step 1.4.2

Multiply $2$ by $1$ .

$1 + 0.0617 + \frac{0.00095172}{2}$

Step 1.5

Divide $0.00095172$ by $2$ .

$1 + 0.0617 + 0.00047586$

Step 2

Simplify by adding numbers.

Tap for more steps...

Step 2.1

Add $1$ and $0.0617$ .

$1.0617 + 0.00047586$

Step 2.2

Add $1.0617$ and $0.00047586$ .

$1.06217586$