Calculus Examples

$3.188 (1 + (1 - 4.25) {(\frac{S}{249.15})}^{4.25})$

Step 1

Simplify each term.

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Step 1.1

Subtract $4.25$ from $1$ .

$3.188 (1 - 3.25 {(\frac{S}{249.15})}^{4.25})$

Step 1.2

Multiply by $1$ .

$3.188 (1 - 3.25 {(\frac{1 S}{249.15})}^{4.25})$

Step 1.3

Factor $249.15$ out of $249.15$ .

$3.188 (1 - 3.25 {(\frac{1 S}{249.15 (1)})}^{4.25})$

Step 1.4

Separate fractions.

$3.188 (1 - 3.25 {(\frac{1}{249.15} \cdot \frac{S}{1})}^{4.25})$

Step 1.5

Divide $1$ by $249.15$ .

$3.188 (1 - 3.25 {(0.00401364 \frac{S}{1})}^{4.25})$

Step 1.6

Divide $S$ by $1$ .

$3.188 (1 - 3.25 {(0.00401364 S)}^{4.25})$

Step 1.7

Apply the product rule to $0.00401364 S$ .

$3.188 (1 - 3.25 ({0.00401364}^{4.25} S^{4.25}))$

Step 1.8

Raise $0.00401364$ to the power of $4.25$ .

$3.188 (1 - 3.25 (0 S^{4.25}))$

Step 1.9

Multiply $0$ by $- 3.25$ .

$3.188 (10 S^{4.25})$

Step 2

Simplify by multiplying through.

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Step 2.1

Apply the distributive property.

$3.188 \cdot 1 + 3.188 (0 S^{4.25})$

Step 2.2

Multiply.

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Step 2.2.1

Multiply $3.188$ by $1$ .

$3.188 + 3.188 (0 S^{4.25})$

Step 2.2.2

Multiply $0$ by $3.188$ .

$3.188 0 S^{4.25}$