Calculus Examples

$f (0) = \sqrt{1 + (2.025 \cdot 10^{- 9}) {(1)}^{2}}$

Step 1

One to any power is one.

$f (0) = \sqrt{1 + 2.025 \cdot 10^{- 9} \cdot 1}$

Step 2

Multiply $2.025$ by $1$ .

$f (0) = \sqrt{1 + 2.025 \cdot 10^{- 9}}$

Step 3

Convert $1$ to scientific notation.

$f (0) = \sqrt{1 \cdot 10^{0} + 2.025 \cdot 10^{- 9}}$

Step 4

Move the decimal point in $2.025$ to the left by $9$ places and increase the power of $10^{- 9}$ by $9$ .

$f (0) = \sqrt{1 \cdot 10^{0} + 0 \cdot 10^{0}}$

Step 5

Factor $10^{0}$ out of $1 \cdot 10^{0} + 0 \cdot 10^{0}$ .

$f (0) = \sqrt{(1 + 0) \cdot 10^{0}}$

Step 6

Add $1$ and $0$ .

$f (0) = \sqrt{1 \cdot 10^{0}}$

Step 7

Convert $1 \cdot 10^{0}$ from scientific notation.

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