Calculus Examples

$f (1.6) = (x) - \frac{6 \tan (x) + x}{(6 \sec^{2} (x) + 1)}$

Step 1

Replace the variable $x$ with $1.6$ in the expression.

$f (1.6) = 1.6 - \frac{6 \tan (1.6) + 1.6}{6 \sec^{2} (1.6) + 1}$

Step 2

Simplify the result.

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Step 2.1

Remove parentheses.

$f (1.6) = 1.6 - \frac{6 \tan (1.6) + 1.6}{6 \sec^{2} (1.6) + 1}$

Step 2.2

Simplify each term.

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Step 2.2.1

Add $6 \tan (1.6)$ and $1.6$ .

$f (1.6) = 1.6 - \frac{- 203.79519641}{6 \sec^{2} (1.6) + 1}$

Step 2.2.2

Move the negative in front of the fraction.

$f (1.6) = 1.6 + \frac{203.79519641}{6 \sec^{2} (1.6) + 1}$

Step 2.2.3

Evaluate $\sec (1.6)$ .

$f (1.6) = 1.6 + \frac{203.79519641}{6 {(- 34.24713561)}^{2} + 1}$

Step 2.2.4

Raise $- 34.24713561$ to the power of $2$ .

$f (1.6) = 1.6 + \frac{203.79519641}{6 \cdot 1172.86629749 + 1}$

Step 2.2.5

Multiply $6$ by $1172.86629749$ .

$f (1.6) = 1.6 + \frac{203.79519641}{7037.19778494 + 1}$

Step 2.2.6

Add $7037.19778494$ and $1$ .

$f (1.6) = 1.6 + \frac{203.79519641}{7038.19778494}$

Step 2.2.7

Divide $203.79519641$ by $7038.19778494$ .

$f (1.6) = 1.6 - (- 1 \cdot 0.02895559)$

Step 2.2.8

Multiply $- (- 1 \cdot 0.02895559)$ .

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Step 2.2.8.1

Multiply $- 1$ by $0.02895559$ .

$f (1.6) = 1.6 + 0.02895559$

Step 2.2.8.2

Multiply $- 1$ by $- 0.02895559$ .

$f (1.6) = 1.6 + 0.02895559$

Step 2.3

Add $1.6$ and $0.02895559$ .

$f (1.6) = 1.62895559$

Step 2.4

The final answer is $1.62895559$ .

$1.62895559$

Step 3