Calculus Examples

$\frac{1}{110} \cdot (- 3972.615675 e^{- 0.01059 t})$

Step 1

Multiply $\frac{1}{110} (- 3972.615675 e^{- 0.01059 t})$ .

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Step 1.1

Combine $- 3972.615675$ and $\frac{1}{110}$ .

$\frac{- 3972.615675}{110} e^{- 0.01059 t}$

Step 1.2

Combine $\frac{- 3972.615675}{110}$ and $e^{- 0.01059 t}$ .

$\frac{- 3972.615675 e^{- 0.01059 t}}{110}$

Step 2

Move the negative in front of the fraction.

$- \frac{3972.615675 e^{- 0.01059 t}}{110}$

Step 3

Factor $3972.615675$ out of $3972.615675 e^{- 0.01059 t}$ .

$- \frac{3972.615675 (e^{- 0.01059 t})}{110}$

Step 4

Factor $110$ out of $110$ .

$- \frac{3972.615675 (e^{- 0.01059 t})}{110 (1)}$

Step 5

Separate fractions.

$- (\frac{3972.615675}{110} \cdot \frac{e^{- 0.01059 t}}{1})$

Step 6

Divide $3972.615675$ by $110$ .

$- (36.11468795 \frac{e^{- 0.01059 t}}{1})$

Step 7

Divide $e^{- 0.01059 t}$ by $1$ .

$- (36.11468795 e^{- 0.01059 t})$

Step 8

Multiply $36.11468795$ by $- 1$ .

$- 36.11468795 e^{- 0.01059 t}$